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Finding the Fourth Proportional to 12,041.13, 16,616.76 and 7,849.38

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Solution

The fourth proportional to 12,041.13, 16,616.76 and 7,849.38 is: 10,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.13 : 16,616.76 = 7,849.38 : x
  2. Step 2: Convert to fraction form
    12,041.13/16,616.76 = 7,849.38/x
  3. Step 3: Cross multiply
    12,041.13x = 16,616.76 × 7,849.38
  4. Step 4: Simplify right side
    12,041.13x = 130,431,141.28
  5. Step 5: Solve for x
    x = 130,431,141.28/12,041.13
  6. Step 6: Final answer
    x = 10,832.14

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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.