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Finding the Fourth Proportional to 15,056.48, 20,778 and 8,342.56

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Solution

The fourth proportional to 15,056.48, 20,778 and 8,342.56 is: 11,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.48 : 20,778 = 8,342.56 : x
  2. Step 2: Convert to fraction form
    15,056.48/20,778 = 8,342.56/x
  3. Step 3: Cross multiply
    15,056.48x = 20,778 × 8,342.56
  4. Step 4: Simplify right side
    15,056.48x = 173,341,711.68
  5. Step 5: Solve for x
    x = 173,341,711.68/15,056.48
  6. Step 6: Final answer
    x = 11,512.76

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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.