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Finding the Fourth Proportional to 8,124.42, 11,211.70 and 4,398.42

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Solution

The fourth proportional to 8,124.42, 11,211.70 and 4,398.42 is: 6,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.42 : 11,211.70 = 4,398.42 : x
  2. Step 2: Convert to fraction form
    8,124.42/11,211.70 = 4,398.42/x
  3. Step 3: Cross multiply
    8,124.42x = 11,211.70 × 4,398.42
  4. Step 4: Simplify right side
    8,124.42x = 49,313,765.51
  5. Step 5: Solve for x
    x = 49,313,765.51/8,124.42
  6. Step 6: Final answer
    x = 6,069.82

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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.