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Finding the Fourth Proportional to 6,672.68, 10,009.04 and 1,742.31

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Solution

The fourth proportional to 6,672.68, 10,009.04 and 1,742.31 is: 2,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.68 : 10,009.04 = 1,742.31 : x
  2. Step 2: Convert to fraction form
    6,672.68/10,009.04 = 1,742.31/x
  3. Step 3: Cross multiply
    6,672.68x = 10,009.04 × 1,742.31
  4. Step 4: Simplify right side
    6,672.68x = 17,438,850.48
  5. Step 5: Solve for x
    x = 17,438,850.48/6,672.68
  6. Step 6: Final answer
    x = 2,613.47

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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.