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Finding the Fourth Proportional to 27,155.76, 40,733.68 and 7,432.84

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Solution

The fourth proportional to 27,155.76, 40,733.68 and 7,432.84 is: 11,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,155.76 : 40,733.68 = 7,432.84 : x
  2. Step 2: Convert to fraction form
    27,155.76/40,733.68 = 7,432.84/x
  3. Step 3: Cross multiply
    27,155.76x = 40,733.68 × 7,432.84
  4. Step 4: Simplify right side
    27,155.76x = 302,766,926.05
  5. Step 5: Solve for x
    x = 302,766,926.05/27,155.76
  6. Step 6: Final answer
    x = 11,149.27

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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.