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Finding the Fourth Proportional to 5,616.39, 8,425.07 and 1,456.34

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Solution

The fourth proportional to 5,616.39, 8,425.07 and 1,456.34 is: 2,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.39 : 8,425.07 = 1,456.34 : x
  2. Step 2: Convert to fraction form
    5,616.39/8,425.07 = 1,456.34/x
  3. Step 3: Cross multiply
    5,616.39x = 8,425.07 × 1,456.34
  4. Step 4: Simplify right side
    5,616.39x = 12,269,717.04
  5. Step 5: Solve for x
    x = 12,269,717.04/5,616.39
  6. Step 6: Final answer
    x = 2,184.63

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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.