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Finding the Fourth Proportional to 10,757.68, 14,842.99 and 6,278.87

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Solution

The fourth proportional to 10,757.68, 14,842.99 and 6,278.87 is: 8,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.68 : 14,842.99 = 6,278.87 : x
  2. Step 2: Convert to fraction form
    10,757.68/14,842.99 = 6,278.87/x
  3. Step 3: Cross multiply
    10,757.68x = 14,842.99 × 6,278.87
  4. Step 4: Simplify right side
    10,757.68x = 93,197,204.62
  5. Step 5: Solve for x
    x = 93,197,204.62/10,757.68
  6. Step 6: Final answer
    x = 8,663.32

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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.