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Finding the Fourth Proportional to 7,287.70, 10,931.55 and 5,829.70

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Solution

The fourth proportional to 7,287.70, 10,931.55 and 5,829.70 is: 8,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.70 : 10,931.55 = 5,829.70 : x
  2. Step 2: Convert to fraction form
    7,287.70/10,931.55 = 5,829.70/x
  3. Step 3: Cross multiply
    7,287.70x = 10,931.55 × 5,829.70
  4. Step 4: Simplify right side
    7,287.70x = 63,727,657.04
  5. Step 5: Solve for x
    x = 63,727,657.04/7,287.70
  6. Step 6: Final answer
    x = 8,744.55

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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.