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Finding the Fourth Proportional to 9,605.20, 14,407.80 and 8,511.70

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Solution

The fourth proportional to 9,605.20, 14,407.80 and 8,511.70 is: 12,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.20 : 14,407.80 = 8,511.70 : x
  2. Step 2: Convert to fraction form
    9,605.20/14,407.80 = 8,511.70/x
  3. Step 3: Cross multiply
    9,605.20x = 14,407.80 × 8,511.70
  4. Step 4: Simplify right side
    9,605.20x = 122,634,871.26
  5. Step 5: Solve for x
    x = 122,634,871.26/9,605.20
  6. Step 6: Final answer
    x = 12,767.55

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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.