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Finding the Fourth Proportional to 6,275.92, 9,407.31 and 2,114.49

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Solution

The fourth proportional to 6,275.92, 9,407.31 and 2,114.49 is: 3,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.92 : 9,407.31 = 2,114.49 : x
  2. Step 2: Convert to fraction form
    6,275.92/9,407.31 = 2,114.49/x
  3. Step 3: Cross multiply
    6,275.92x = 9,407.31 × 2,114.49
  4. Step 4: Simplify right side
    6,275.92x = 19,891,662.92
  5. Step 5: Solve for x
    x = 19,891,662.92/6,275.92
  6. Step 6: Final answer
    x = 3,169.52

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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.