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Finding the Fourth Proportional to 7,203.74, 10,781.22 and 4,432.18

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Solution

The fourth proportional to 7,203.74, 10,781.22 and 4,432.18 is: 6,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.74 : 10,781.22 = 4,432.18 : x
  2. Step 2: Convert to fraction form
    7,203.74/10,781.22 = 4,432.18/x
  3. Step 3: Cross multiply
    7,203.74x = 10,781.22 × 4,432.18
  4. Step 4: Simplify right side
    7,203.74x = 47,784,307.66
  5. Step 5: Solve for x
    x = 47,784,307.66/7,203.74
  6. Step 6: Final answer
    x = 6,633.26

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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.