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Finding the Fourth Proportional to 13,658.16, 18,847.14 and 7,688.74

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Solution

The fourth proportional to 13,658.16, 18,847.14 and 7,688.74 is: 10,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.16 : 18,847.14 = 7,688.74 : x
  2. Step 2: Convert to fraction form
    13,658.16/18,847.14 = 7,688.74/x
  3. Step 3: Cross multiply
    13,658.16x = 18,847.14 × 7,688.74
  4. Step 4: Simplify right side
    13,658.16x = 144,910,759.20
  5. Step 5: Solve for x
    x = 144,910,759.20/13,658.16
  6. Step 6: Final answer
    x = 10,609.83

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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.