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Finding the Fourth Proportional to 7,654.92, 11,489.58 and 3,762.12

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Solution

The fourth proportional to 7,654.92, 11,489.58 and 3,762.12 is: 5,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.92 : 11,489.58 = 3,762.12 : x
  2. Step 2: Convert to fraction form
    7,654.92/11,489.58 = 3,762.12/x
  3. Step 3: Cross multiply
    7,654.92x = 11,489.58 × 3,762.12
  4. Step 4: Simplify right side
    7,654.92x = 43,225,178.71
  5. Step 5: Solve for x
    x = 43,225,178.71/7,654.92
  6. Step 6: Final answer
    x = 5,646.72

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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.