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Finding the Fourth Proportional to 10,753.68, 14,842.08 and 6,772.08

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Solution

The fourth proportional to 10,753.68, 14,842.08 and 6,772.08 is: 9,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.68 : 14,842.08 = 6,772.08 : x
  2. Step 2: Convert to fraction form
    10,753.68/14,842.08 = 6,772.08/x
  3. Step 3: Cross multiply
    10,753.68x = 14,842.08 × 6,772.08
  4. Step 4: Simplify right side
    10,753.68x = 100,511,753.13
  5. Step 5: Solve for x
    x = 100,511,753.13/10,753.68
  6. Step 6: Final answer
    x = 9,346.73

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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.