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Finding the Fourth Proportional to 7,147.50, 10,737.71 and 6,852.25

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Solution

The fourth proportional to 7,147.50, 10,737.71 and 6,852.25 is: 10,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.50 : 10,737.71 = 6,852.25 : x
  2. Step 2: Convert to fraction form
    7,147.50/10,737.71 = 6,852.25/x
  3. Step 3: Cross multiply
    7,147.50x = 10,737.71 × 6,852.25
  4. Step 4: Simplify right side
    7,147.50x = 73,577,473.35
  5. Step 5: Solve for x
    x = 73,577,473.35/7,147.50
  6. Step 6: Final answer
    x = 10,294.16

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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.