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Finding the Fourth Proportional to 7,882.70, 10,877.63 and 4,345.94

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Solution

The fourth proportional to 7,882.70, 10,877.63 and 4,345.94 is: 5,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.70 : 10,877.63 = 4,345.94 : x
  2. Step 2: Convert to fraction form
    7,882.70/10,877.63 = 4,345.94/x
  3. Step 3: Cross multiply
    7,882.70x = 10,877.63 × 4,345.94
  4. Step 4: Simplify right side
    7,882.70x = 47,273,527.32
  5. Step 5: Solve for x
    x = 47,273,527.32/7,882.70
  6. Step 6: Final answer
    x = 5,997.12

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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.