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Finding the Fourth Proportional to 10,149.84, 15,220.92 and 4,674

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Solution

The fourth proportional to 10,149.84, 15,220.92 and 4,674 is: 7,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.84 : 15,220.92 = 4,674 : x
  2. Step 2: Convert to fraction form
    10,149.84/15,220.92 = 4,674/x
  3. Step 3: Cross multiply
    10,149.84x = 15,220.92 × 4,674
  4. Step 4: Simplify right side
    10,149.84x = 71,142,580.08
  5. Step 5: Solve for x
    x = 71,142,580.08/10,149.84
  6. Step 6: Final answer
    x = 7,009.23

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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.