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Finding the Fourth Proportional to 31,897.74, 47,853.89 and 9,714.26

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Solution

The fourth proportional to 31,897.74, 47,853.89 and 9,714.26 is: 14,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.74 : 47,853.89 = 9,714.26 : x
  2. Step 2: Convert to fraction form
    31,897.74/47,853.89 = 9,714.26/x
  3. Step 3: Cross multiply
    31,897.74x = 47,853.89 × 9,714.26
  4. Step 4: Simplify right side
    31,897.74x = 464,865,129.47
  5. Step 5: Solve for x
    x = 464,865,129.47/31,897.74
  6. Step 6: Final answer
    x = 14,573.61

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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.