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Finding the Fourth Proportional to 9,677.97, 14,518.17 and 8,348.76

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Solution

The fourth proportional to 9,677.97, 14,518.17 and 8,348.76 is: 12,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.97 : 14,518.17 = 8,348.76 : x
  2. Step 2: Convert to fraction form
    9,677.97/14,518.17 = 8,348.76/x
  3. Step 3: Cross multiply
    9,677.97x = 14,518.17 × 8,348.76
  4. Step 4: Simplify right side
    9,677.97x = 121,208,716.97
  5. Step 5: Solve for x
    x = 121,208,716.97/9,677.97
  6. Step 6: Final answer
    x = 12,524.19

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.