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Finding the Fourth Proportional to 10,772.67, 16,169.90 and 7,656.20

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Solution

The fourth proportional to 10,772.67, 16,169.90 and 7,656.20 is: 11,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.67 : 16,169.90 = 7,656.20 : x
  2. Step 2: Convert to fraction form
    10,772.67/16,169.90 = 7,656.20/x
  3. Step 3: Cross multiply
    10,772.67x = 16,169.90 × 7,656.20
  4. Step 4: Simplify right side
    10,772.67x = 123,799,988.38
  5. Step 5: Solve for x
    x = 123,799,988.38/10,772.67
  6. Step 6: Final answer
    x = 11,492.04

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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.