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Finding the Fourth Proportional to 6,502.40, 9,763.20 and 5,043.20

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Solution

The fourth proportional to 6,502.40, 9,763.20 and 5,043.20 is: 7,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.40 : 9,763.20 = 5,043.20 : x
  2. Step 2: Convert to fraction form
    6,502.40/9,763.20 = 5,043.20/x
  3. Step 3: Cross multiply
    6,502.40x = 9,763.20 × 5,043.20
  4. Step 4: Simplify right side
    6,502.40x = 49,237,770.24
  5. Step 5: Solve for x
    x = 49,237,770.24/6,502.40
  6. Step 6: Final answer
    x = 7,572.25

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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.