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Finding the Fourth Proportional to 10,732.96, 14,732.48 and 9,527.68

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Solution

The fourth proportional to 10,732.96, 14,732.48 and 9,527.68 is: 13,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.96 : 14,732.48 = 9,527.68 : x
  2. Step 2: Convert to fraction form
    10,732.96/14,732.48 = 9,527.68/x
  3. Step 3: Cross multiply
    10,732.96x = 14,732.48 × 9,527.68
  4. Step 4: Simplify right side
    10,732.96x = 140,366,355.05
  5. Step 5: Solve for x
    x = 140,366,355.05/10,732.96
  6. Step 6: Final answer
    x = 13,078.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.