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Finding the Fourth Proportional to 6,572.24, 9,858.36 and 3,500.24

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Solution

The fourth proportional to 6,572.24, 9,858.36 and 3,500.24 is: 5,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.24 : 9,858.36 = 3,500.24 : x
  2. Step 2: Convert to fraction form
    6,572.24/9,858.36 = 3,500.24/x
  3. Step 3: Cross multiply
    6,572.24x = 9,858.36 × 3,500.24
  4. Step 4: Simplify right side
    6,572.24x = 34,506,626.01
  5. Step 5: Solve for x
    x = 34,506,626.01/6,572.24
  6. Step 6: Final answer
    x = 5,250.36

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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.