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Finding the Fourth Proportional to 29,714.26, 44,543.47 and 9,978.98

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Solution

The fourth proportional to 29,714.26, 44,543.47 and 9,978.98 is: 14,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.26 : 44,543.47 = 9,978.98 : x
  2. Step 2: Convert to fraction form
    29,714.26/44,543.47 = 9,978.98/x
  3. Step 3: Cross multiply
    29,714.26x = 44,543.47 × 9,978.98
  4. Step 4: Simplify right side
    29,714.26x = 444,498,173.54
  5. Step 5: Solve for x
    x = 444,498,173.54/29,714.26
  6. Step 6: Final answer
    x = 14,959.09

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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.