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Finding the Fourth Proportional to 31,522.63, 47,290.86 and 9,337.74

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Solution

The fourth proportional to 31,522.63, 47,290.86 and 9,337.74 is: 14,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522.63 : 47,290.86 = 9,337.74 : x
  2. Step 2: Convert to fraction form
    31,522.63/47,290.86 = 9,337.74/x
  3. Step 3: Cross multiply
    31,522.63x = 47,290.86 × 9,337.74
  4. Step 4: Simplify right side
    31,522.63x = 441,589,755.06
  5. Step 5: Solve for x
    x = 441,589,755.06/31,522.63
  6. Step 6: Final answer
    x = 14,008.66

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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.