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Finding the Fourth Proportional to 6,409.70, 9,612.12 and 2,248.52

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Solution

The fourth proportional to 6,409.70, 9,612.12 and 2,248.52 is: 3,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.70 : 9,612.12 = 2,248.52 : x
  2. Step 2: Convert to fraction form
    6,409.70/9,612.12 = 2,248.52/x
  3. Step 3: Cross multiply
    6,409.70x = 9,612.12 × 2,248.52
  4. Step 4: Simplify right side
    6,409.70x = 21,613,044.06
  5. Step 5: Solve for x
    x = 21,613,044.06/6,409.70
  6. Step 6: Final answer
    x = 3,371.93

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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.