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Finding the Fourth Proportional to 6,397.34, 9,597.22 and 2,501.50

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Solution

The fourth proportional to 6,397.34, 9,597.22 and 2,501.50 is: 3,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.34 : 9,597.22 = 2,501.50 : x
  2. Step 2: Convert to fraction form
    6,397.34/9,597.22 = 2,501.50/x
  3. Step 3: Cross multiply
    6,397.34x = 9,597.22 × 2,501.50
  4. Step 4: Simplify right side
    6,397.34x = 24,007,445.83
  5. Step 5: Solve for x
    x = 24,007,445.83/6,397.34
  6. Step 6: Final answer
    x = 3,752.72

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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.