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Finding the Fourth Proportional to 6,500.40, 9,734.10 and 3,575.40

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Solution

The fourth proportional to 6,500.40, 9,734.10 and 3,575.40 is: 5,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.40 : 9,734.10 = 3,575.40 : x
  2. Step 2: Convert to fraction form
    6,500.40/9,734.10 = 3,575.40/x
  3. Step 3: Cross multiply
    6,500.40x = 9,734.10 × 3,575.40
  4. Step 4: Simplify right side
    6,500.40x = 34,803,301.14
  5. Step 5: Solve for x
    x = 34,803,301.14/6,500.40
  6. Step 6: Final answer
    x = 5,354.02

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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.