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Finding the Fourth Proportional to 12,025.78, 16,589.28 and 7,541.08

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Solution

The fourth proportional to 12,025.78, 16,589.28 and 7,541.08 is: 10,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.78 : 16,589.28 = 7,541.08 : x
  2. Step 2: Convert to fraction form
    12,025.78/16,589.28 = 7,541.08/x
  3. Step 3: Cross multiply
    12,025.78x = 16,589.28 × 7,541.08
  4. Step 4: Simplify right side
    12,025.78x = 125,101,087.62
  5. Step 5: Solve for x
    x = 125,101,087.62/12,025.78
  6. Step 6: Final answer
    x = 10,402.74

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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.