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Finding the Fourth Proportional to 11,559.38, 15,951.95 and 8,024.64

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Solution

The fourth proportional to 11,559.38, 15,951.95 and 8,024.64 is: 11,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.38 : 15,951.95 = 8,024.64 : x
  2. Step 2: Convert to fraction form
    11,559.38/15,951.95 = 8,024.64/x
  3. Step 3: Cross multiply
    11,559.38x = 15,951.95 × 8,024.64
  4. Step 4: Simplify right side
    11,559.38x = 128,008,721.07
  5. Step 5: Solve for x
    x = 128,008,721.07/11,559.38
  6. Step 6: Final answer
    x = 11,074.01

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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.