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Finding the Fourth Proportional to 36,575.76, 54,863.88 and 10,281

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Solution

The fourth proportional to 36,575.76, 54,863.88 and 10,281 is: 15,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,575.76 : 54,863.88 = 10,281 : x
  2. Step 2: Convert to fraction form
    36,575.76/54,863.88 = 10,281/x
  3. Step 3: Cross multiply
    36,575.76x = 54,863.88 × 10,281
  4. Step 4: Simplify right side
    36,575.76x = 564,055,550.28
  5. Step 5: Solve for x
    x = 564,055,550.28/36,575.76
  6. Step 6: Final answer
    x = 15,421.57

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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.