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Finding the Fourth Proportional to 5,414.62, 7,448.74 and 4,417.70

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Solution

The fourth proportional to 5,414.62, 7,448.74 and 4,417.70 is: 6,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.62 : 7,448.74 = 4,417.70 : x
  2. Step 2: Convert to fraction form
    5,414.62/7,448.74 = 4,417.70/x
  3. Step 3: Cross multiply
    5,414.62x = 7,448.74 × 4,417.70
  4. Step 4: Simplify right side
    5,414.62x = 32,906,298.70
  5. Step 5: Solve for x
    x = 32,906,298.70/5,414.62
  6. Step 6: Final answer
    x = 6,077.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.