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Finding the Fourth Proportional to 7,188.68, 9,890.70 and 5,614.04

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Solution

The fourth proportional to 7,188.68, 9,890.70 and 5,614.04 is: 7,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.68 : 9,890.70 = 5,614.04 : x
  2. Step 2: Convert to fraction form
    7,188.68/9,890.70 = 5,614.04/x
  3. Step 3: Cross multiply
    7,188.68x = 9,890.70 × 5,614.04
  4. Step 4: Simplify right side
    7,188.68x = 55,526,785.43
  5. Step 5: Solve for x
    x = 55,526,785.43/7,188.68
  6. Step 6: Final answer
    x = 7,724.20

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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.