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Finding the Fourth Proportional to 15,078.52, 22,587.54 and 7,682.68

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Solution

The fourth proportional to 15,078.52, 22,587.54 and 7,682.68 is: 11,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.52 : 22,587.54 = 7,682.68 : x
  2. Step 2: Convert to fraction form
    15,078.52/22,587.54 = 7,682.68/x
  3. Step 3: Cross multiply
    15,078.52x = 22,587.54 × 7,682.68
  4. Step 4: Simplify right side
    15,078.52x = 173,532,841.81
  5. Step 5: Solve for x
    x = 173,532,841.81/15,078.52
  6. Step 6: Final answer
    x = 11,508.61

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1.5x scale

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.