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Finding the Fourth Proportional to 12,079.54, 16,654.33 and 7,823.08

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Solution

The fourth proportional to 12,079.54, 16,654.33 and 7,823.08 is: 10,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.54 : 16,654.33 = 7,823.08 : x
  2. Step 2: Convert to fraction form
    12,079.54/16,654.33 = 7,823.08/x
  3. Step 3: Cross multiply
    12,079.54x = 16,654.33 × 7,823.08
  4. Step 4: Simplify right side
    12,079.54x = 130,288,053.11
  5. Step 5: Solve for x
    x = 130,288,053.11/12,079.54
  6. Step 6: Final answer
    x = 10,785.85

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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.