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Finding the Fourth Proportional to 5,614.92, 7,748.80 and 3,097.13

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Solution

The fourth proportional to 5,614.92, 7,748.80 and 3,097.13 is: 4,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.92 : 7,748.80 = 3,097.13 : x
  2. Step 2: Convert to fraction form
    5,614.92/7,748.80 = 3,097.13/x
  3. Step 3: Cross multiply
    5,614.92x = 7,748.80 × 3,097.13
  4. Step 4: Simplify right side
    5,614.92x = 23,998,994.46
  5. Step 5: Solve for x
    x = 23,998,994.46/5,614.92
  6. Step 6: Final answer
    x = 4,274.15

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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.