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Finding the Fourth Proportional to 10,233, 14,117.49 and 6,454.76

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Solution

The fourth proportional to 10,233, 14,117.49 and 6,454.76 is: 8,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233 : 14,117.49 = 6,454.76 : x
  2. Step 2: Convert to fraction form
    10,233/14,117.49 = 6,454.76/x
  3. Step 3: Cross multiply
    10,233x = 14,117.49 × 6,454.76
  4. Step 4: Simplify right side
    10,233x = 91,124,939.16
  5. Step 5: Solve for x
    x = 91,124,939.16/10,233
  6. Step 6: Final answer
    x = 8,905.01

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.