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Finding the Fourth Proportional to 6,398.34, 9,598.72 and 2,502.50

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Solution

The fourth proportional to 6,398.34, 9,598.72 and 2,502.50 is: 3,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.34 : 9,598.72 = 2,502.50 : x
  2. Step 2: Convert to fraction form
    6,398.34/9,598.72 = 2,502.50/x
  3. Step 3: Cross multiply
    6,398.34x = 9,598.72 × 2,502.50
  4. Step 4: Simplify right side
    6,398.34x = 24,020,796.80
  5. Step 5: Solve for x
    x = 24,020,796.80/6,398.34
  6. Step 6: Final answer
    x = 3,754.22

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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.