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Finding the Fourth Proportional to 10,044, 15,069.16 and 4,502

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Solution

The fourth proportional to 10,044, 15,069.16 and 4,502 is: 6,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044 : 15,069.16 = 4,502 : x
  2. Step 2: Convert to fraction form
    10,044/15,069.16 = 4,502/x
  3. Step 3: Cross multiply
    10,044x = 15,069.16 × 4,502
  4. Step 4: Simplify right side
    10,044x = 67,841,358.32
  5. Step 5: Solve for x
    x = 67,841,358.32/10,044
  6. Step 6: Final answer
    x = 6,754.42

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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.