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Finding the Fourth Proportional to 15,086, 20,818.44 and 9,117.68

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Solution

The fourth proportional to 15,086, 20,818.44 and 9,117.68 is: 12,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086 : 20,818.44 = 9,117.68 : x
  2. Step 2: Convert to fraction form
    15,086/20,818.44 = 9,117.68/x
  3. Step 3: Cross multiply
    15,086x = 20,818.44 × 9,117.68
  4. Step 4: Simplify right side
    15,086x = 189,815,874.02
  5. Step 5: Solve for x
    x = 189,815,874.02/15,086
  6. Step 6: Final answer
    x = 12,582.25

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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.