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Finding the Fourth Proportional to 12,042.68, 16,614 and 7,503.20

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Solution

The fourth proportional to 12,042.68, 16,614 and 7,503.20 is: 10,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.68 : 16,614 = 7,503.20 : x
  2. Step 2: Convert to fraction form
    12,042.68/16,614 = 7,503.20/x
  3. Step 3: Cross multiply
    12,042.68x = 16,614 × 7,503.20
  4. Step 4: Simplify right side
    12,042.68x = 124,658,164.80
  5. Step 5: Solve for x
    x = 124,658,164.80/12,042.68
  6. Step 6: Final answer
    x = 10,351.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.