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Finding the Fourth Proportional to 6,074.56, 9,111.42 and 3,151

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Solution

The fourth proportional to 6,074.56, 9,111.42 and 3,151 is: 4,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.56 : 9,111.42 = 3,151 : x
  2. Step 2: Convert to fraction form
    6,074.56/9,111.42 = 3,151/x
  3. Step 3: Cross multiply
    6,074.56x = 9,111.42 × 3,151
  4. Step 4: Simplify right side
    6,074.56x = 28,710,084.42
  5. Step 5: Solve for x
    x = 28,710,084.42/6,074.56
  6. Step 6: Final answer
    x = 4,726.28

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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.