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Finding the Fourth Proportional to 37,742.80, 56,614.04 and 9,662.80

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Solution

The fourth proportional to 37,742.80, 56,614.04 and 9,662.80 is: 14,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,742.80 : 56,614.04 = 9,662.80 : x
  2. Step 2: Convert to fraction form
    37,742.80/56,614.04 = 9,662.80/x
  3. Step 3: Cross multiply
    37,742.80x = 56,614.04 × 9,662.80
  4. Step 4: Simplify right side
    37,742.80x = 547,050,145.71
  5. Step 5: Solve for x
    x = 547,050,145.71/37,742.80
  6. Step 6: Final answer
    x = 14,494.16

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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.