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Finding the Fourth Proportional to 37,142.56, 55,714.08 and 9,440.64

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Solution

The fourth proportional to 37,142.56, 55,714.08 and 9,440.64 is: 14,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.56 : 55,714.08 = 9,440.64 : x
  2. Step 2: Convert to fraction form
    37,142.56/55,714.08 = 9,440.64/x
  3. Step 3: Cross multiply
    37,142.56x = 55,714.08 × 9,440.64
  4. Step 4: Simplify right side
    37,142.56x = 525,976,572.21
  5. Step 5: Solve for x
    x = 525,976,572.21/37,142.56
  6. Step 6: Final answer
    x = 14,161.02

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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.