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Finding the Fourth Proportional to 11,000.14, 15,123.98 and 9,793.65

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Solution

The fourth proportional to 11,000.14, 15,123.98 and 9,793.65 is: 13,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.14 : 15,123.98 = 9,793.65 : x
  2. Step 2: Convert to fraction form
    11,000.14/15,123.98 = 9,793.65/x
  3. Step 3: Cross multiply
    11,000.14x = 15,123.98 × 9,793.65
  4. Step 4: Simplify right side
    11,000.14x = 148,118,891.11
  5. Step 5: Solve for x
    x = 148,118,891.11/11,000.14
  6. Step 6: Final answer
    x = 13,465.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.