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Finding the Fourth Proportional to 12,574.24, 18,769.16 and 11,098.24

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Solution

The fourth proportional to 12,574.24, 18,769.16 and 11,098.24 is: 16,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.24 : 18,769.16 = 11,098.24 : x
  2. Step 2: Convert to fraction form
    12,574.24/18,769.16 = 11,098.24/x
  3. Step 3: Cross multiply
    12,574.24x = 18,769.16 × 11,098.24
  4. Step 4: Simplify right side
    12,574.24x = 208,304,642.28
  5. Step 5: Solve for x
    x = 208,304,642.28/12,574.24
  6. Step 6: Final answer
    x = 16,565.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.