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Finding the Fourth Proportional to 5,363.24, 7,406.62 and 4,422.23

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Solution

The fourth proportional to 5,363.24, 7,406.62 and 4,422.23 is: 6,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.24 : 7,406.62 = 4,422.23 : x
  2. Step 2: Convert to fraction form
    5,363.24/7,406.62 = 4,422.23/x
  3. Step 3: Cross multiply
    5,363.24x = 7,406.62 × 4,422.23
  4. Step 4: Simplify right side
    5,363.24x = 32,753,740.13
  5. Step 5: Solve for x
    x = 32,753,740.13/5,363.24
  6. Step 6: Final answer
    x = 6,107.08

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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.