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Finding the Fourth Proportional to 6,068.50, 9,102.14 and 4,428.25

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Solution

The fourth proportional to 6,068.50, 9,102.14 and 4,428.25 is: 6,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.50 : 9,102.14 = 4,428.25 : x
  2. Step 2: Convert to fraction form
    6,068.50/9,102.14 = 4,428.25/x
  3. Step 3: Cross multiply
    6,068.50x = 9,102.14 × 4,428.25
  4. Step 4: Simplify right side
    6,068.50x = 40,306,551.46
  5. Step 5: Solve for x
    x = 40,306,551.46/6,068.50
  6. Step 6: Final answer
    x = 6,641.93

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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.