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Finding the Fourth Proportional to 15,205.70, 22,811.07 and 5,342.42

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Solution

The fourth proportional to 15,205.70, 22,811.07 and 5,342.42 is: 8,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.70 : 22,811.07 = 5,342.42 : x
  2. Step 2: Convert to fraction form
    15,205.70/22,811.07 = 5,342.42/x
  3. Step 3: Cross multiply
    15,205.70x = 22,811.07 × 5,342.42
  4. Step 4: Simplify right side
    15,205.70x = 121,866,316.59
  5. Step 5: Solve for x
    x = 121,866,316.59/15,205.70
  6. Step 6: Final answer
    x = 8,014.52

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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.