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Finding the Fourth Proportional to 7,306.40, 10,970.40 and 5,124.80

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Solution

The fourth proportional to 7,306.40, 10,970.40 and 5,124.80 is: 7,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.40 : 10,970.40 = 5,124.80 : x
  2. Step 2: Convert to fraction form
    7,306.40/10,970.40 = 5,124.80/x
  3. Step 3: Cross multiply
    7,306.40x = 10,970.40 × 5,124.80
  4. Step 4: Simplify right side
    7,306.40x = 56,221,105.92
  5. Step 5: Solve for x
    x = 56,221,105.92/7,306.40
  6. Step 6: Final answer
    x = 7,694.78

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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.