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Finding the Fourth Proportional to 6,672.90, 10,009.62 and 1,742.94

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Solution

The fourth proportional to 6,672.90, 10,009.62 and 1,742.94 is: 2,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.90 : 10,009.62 = 1,742.94 : x
  2. Step 2: Convert to fraction form
    6,672.90/10,009.62 = 1,742.94/x
  3. Step 3: Cross multiply
    6,672.90x = 10,009.62 × 1,742.94
  4. Step 4: Simplify right side
    6,672.90x = 17,446,167.08
  5. Step 5: Solve for x
    x = 17,446,167.08/6,672.90
  6. Step 6: Final answer
    x = 2,614.48

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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.