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Finding the Fourth Proportional to 12,176.68, 16,801.68 and 7,462.48

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Solution

The fourth proportional to 12,176.68, 16,801.68 and 7,462.48 is: 10,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.68 : 16,801.68 = 7,462.48 : x
  2. Step 2: Convert to fraction form
    12,176.68/16,801.68 = 7,462.48/x
  3. Step 3: Cross multiply
    12,176.68x = 16,801.68 × 7,462.48
  4. Step 4: Simplify right side
    12,176.68x = 125,382,200.97
  5. Step 5: Solve for x
    x = 125,382,200.97/12,176.68
  6. Step 6: Final answer
    x = 10,296.91

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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.