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Finding the Fourth Proportional to 10,147.50, 15,223.17 and 4,675.50

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Solution

The fourth proportional to 10,147.50, 15,223.17 and 4,675.50 is: 7,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.50 : 15,223.17 = 4,675.50 : x
  2. Step 2: Convert to fraction form
    10,147.50/15,223.17 = 4,675.50/x
  3. Step 3: Cross multiply
    10,147.50x = 15,223.17 × 4,675.50
  4. Step 4: Simplify right side
    10,147.50x = 71,175,931.34
  5. Step 5: Solve for x
    x = 71,175,931.34/10,147.50
  6. Step 6: Final answer
    x = 7,014.13

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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.