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Finding the Fourth Proportional to 6,407.82, 9,612.69 and 2,248.32

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Solution

The fourth proportional to 6,407.82, 9,612.69 and 2,248.32 is: 3,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.82 : 9,612.69 = 2,248.32 : x
  2. Step 2: Convert to fraction form
    6,407.82/9,612.69 = 2,248.32/x
  3. Step 3: Cross multiply
    6,407.82x = 9,612.69 × 2,248.32
  4. Step 4: Simplify right side
    6,407.82x = 21,612,403.18
  5. Step 5: Solve for x
    x = 21,612,403.18/6,407.82
  6. Step 6: Final answer
    x = 3,372.82

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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.