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Finding the Fourth Proportional to 8,942, 12,339.96 and 4,963.76

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Solution

The fourth proportional to 8,942, 12,339.96 and 4,963.76 is: 6,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942 : 12,339.96 = 4,963.76 : x
  2. Step 2: Convert to fraction form
    8,942/12,339.96 = 4,963.76/x
  3. Step 3: Cross multiply
    8,942x = 12,339.96 × 4,963.76
  4. Step 4: Simplify right side
    8,942x = 61,252,538.15
  5. Step 5: Solve for x
    x = 61,252,538.15/8,942
  6. Step 6: Final answer
    x = 6,849.98

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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.