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Finding the Fourth Proportional to 18,042, 24,897.96 and 9,975.66

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Solution

The fourth proportional to 18,042, 24,897.96 and 9,975.66 is: 13,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042 : 24,897.96 = 9,975.66 : x
  2. Step 2: Convert to fraction form
    18,042/24,897.96 = 9,975.66/x
  3. Step 3: Cross multiply
    18,042x = 24,897.96 × 9,975.66
  4. Step 4: Simplify right side
    18,042x = 248,373,583.65
  5. Step 5: Solve for x
    x = 248,373,583.65/18,042
  6. Step 6: Final answer
    x = 13,766.41

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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.