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Finding the Fourth Proportional to 9,927.92, 13,700.08 and 5,951.24

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Solution

The fourth proportional to 9,927.92, 13,700.08 and 5,951.24 is: 8,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.92 : 13,700.08 = 5,951.24 : x
  2. Step 2: Convert to fraction form
    9,927.92/13,700.08 = 5,951.24/x
  3. Step 3: Cross multiply
    9,927.92x = 13,700.08 × 5,951.24
  4. Step 4: Simplify right side
    9,927.92x = 81,532,464.10
  5. Step 5: Solve for x
    x = 81,532,464.10/9,927.92
  6. Step 6: Final answer
    x = 8,212.44

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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.