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Finding the Fourth Proportional to 6,470.40, 9,715.20 and 5,011.20

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Solution

The fourth proportional to 6,470.40, 9,715.20 and 5,011.20 is: 7,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.40 : 9,715.20 = 5,011.20 : x
  2. Step 2: Convert to fraction form
    6,470.40/9,715.20 = 5,011.20/x
  3. Step 3: Cross multiply
    6,470.40x = 9,715.20 × 5,011.20
  4. Step 4: Simplify right side
    6,470.40x = 48,684,810.24
  5. Step 5: Solve for x
    x = 48,684,810.24/6,470.40
  6. Step 6: Final answer
    x = 7,524.24

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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.