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Finding the Fourth Proportional to 6,374.78, 9,565.01 and 3,253.14

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Solution

The fourth proportional to 6,374.78, 9,565.01 and 3,253.14 is: 4,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.78 : 9,565.01 = 3,253.14 : x
  2. Step 2: Convert to fraction form
    6,374.78/9,565.01 = 3,253.14/x
  3. Step 3: Cross multiply
    6,374.78x = 9,565.01 × 3,253.14
  4. Step 4: Simplify right side
    6,374.78x = 31,116,300.37
  5. Step 5: Solve for x
    x = 31,116,300.37/6,374.78
  6. Step 6: Final answer
    x = 4,881.16

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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.