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Finding the Fourth Proportional to 6,071.54, 9,107.78 and 1,689.35

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Solution

The fourth proportional to 6,071.54, 9,107.78 and 1,689.35 is: 2,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.54 : 9,107.78 = 1,689.35 : x
  2. Step 2: Convert to fraction form
    6,071.54/9,107.78 = 1,689.35/x
  3. Step 3: Cross multiply
    6,071.54x = 9,107.78 × 1,689.35
  4. Step 4: Simplify right side
    6,071.54x = 15,386,174.16
  5. Step 5: Solve for x
    x = 15,386,174.16/6,071.54
  6. Step 6: Final answer
    x = 2,534.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.