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Finding the Fourth Proportional to 12,304.90, 18,463.38 and 5,723.20

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Solution

The fourth proportional to 12,304.90, 18,463.38 and 5,723.20 is: 8,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.90 : 18,463.38 = 5,723.20 : x
  2. Step 2: Convert to fraction form
    12,304.90/18,463.38 = 5,723.20/x
  3. Step 3: Cross multiply
    12,304.90x = 18,463.38 × 5,723.20
  4. Step 4: Simplify right side
    12,304.90x = 105,669,616.42
  5. Step 5: Solve for x
    x = 105,669,616.42/12,304.90
  6. Step 6: Final answer
    x = 8,587.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.