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Finding the Fourth Proportional to 15,134.50, 20,883.72 and 8,419.65

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Solution

The fourth proportional to 15,134.50, 20,883.72 and 8,419.65 is: 11,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134.50 : 20,883.72 = 8,419.65 : x
  2. Step 2: Convert to fraction form
    15,134.50/20,883.72 = 8,419.65/x
  3. Step 3: Cross multiply
    15,134.50x = 20,883.72 × 8,419.65
  4. Step 4: Simplify right side
    15,134.50x = 175,833,566.36
  5. Step 5: Solve for x
    x = 175,833,566.36/15,134.50
  6. Step 6: Final answer
    x = 11,618.07

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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.