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Finding the Fourth Proportional to 7,832.13, 10,807 and 5,178.12

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Solution

The fourth proportional to 7,832.13, 10,807 and 5,178.12 is: 7,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.13 : 10,807 = 5,178.12 : x
  2. Step 2: Convert to fraction form
    7,832.13/10,807 = 5,178.12/x
  3. Step 3: Cross multiply
    7,832.13x = 10,807 × 5,178.12
  4. Step 4: Simplify right side
    7,832.13x = 55,959,942.84
  5. Step 5: Solve for x
    x = 55,959,942.84/7,832.13
  6. Step 6: Final answer
    x = 7,144.92

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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.