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Finding the Fourth Proportional to 37,114.70, 55,672.05 and 9,412.70

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Solution

The fourth proportional to 37,114.70, 55,672.05 and 9,412.70 is: 14,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114.70 : 55,672.05 = 9,412.70 : x
  2. Step 2: Convert to fraction form
    37,114.70/55,672.05 = 9,412.70/x
  3. Step 3: Cross multiply
    37,114.70x = 55,672.05 × 9,412.70
  4. Step 4: Simplify right side
    37,114.70x = 524,024,305.04
  5. Step 5: Solve for x
    x = 524,024,305.04/37,114.70
  6. Step 6: Final answer
    x = 14,119.05

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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.