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Finding the Fourth Proportional to 12,043.65, 18,066.20 and 4,648.16

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Solution

The fourth proportional to 12,043.65, 18,066.20 and 4,648.16 is: 6,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.65 : 18,066.20 = 4,648.16 : x
  2. Step 2: Convert to fraction form
    12,043.65/18,066.20 = 4,648.16/x
  3. Step 3: Cross multiply
    12,043.65x = 18,066.20 × 4,648.16
  4. Step 4: Simplify right side
    12,043.65x = 83,974,474.62
  5. Step 5: Solve for x
    x = 83,974,474.62/12,043.65
  6. Step 6: Final answer
    x = 6,972.51

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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.