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Finding the Fourth Proportional to 13,488.80, 18,614.18 and 7,823.19

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Solution

The fourth proportional to 13,488.80, 18,614.18 and 7,823.19 is: 10,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.80 : 18,614.18 = 7,823.19 : x
  2. Step 2: Convert to fraction form
    13,488.80/18,614.18 = 7,823.19/x
  3. Step 3: Cross multiply
    13,488.80x = 18,614.18 × 7,823.19
  4. Step 4: Simplify right side
    13,488.80x = 145,622,266.83
  5. Step 5: Solve for x
    x = 145,622,266.83/13,488.80
  6. Step 6: Final answer
    x = 10,795.79

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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.