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Finding the Fourth Proportional to 15,157.71, 20,914.16 and 9,188.15

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Solution

The fourth proportional to 15,157.71, 20,914.16 and 9,188.15 is: 12,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.71 : 20,914.16 = 9,188.15 : x
  2. Step 2: Convert to fraction form
    15,157.71/20,914.16 = 9,188.15/x
  3. Step 3: Cross multiply
    15,157.71x = 20,914.16 × 9,188.15
  4. Step 4: Simplify right side
    15,157.71x = 192,162,288.69
  5. Step 5: Solve for x
    x = 192,162,288.69/15,157.71
  6. Step 6: Final answer
    x = 12,677.53

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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.