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Finding the Fourth Proportional to 7,876.94, 11,808.10 and 2,942.82

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Solution

The fourth proportional to 7,876.94, 11,808.10 and 2,942.82 is: 4,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.94 : 11,808.10 = 2,942.82 : x
  2. Step 2: Convert to fraction form
    7,876.94/11,808.10 = 2,942.82/x
  3. Step 3: Cross multiply
    7,876.94x = 11,808.10 × 2,942.82
  4. Step 4: Simplify right side
    7,876.94x = 34,749,116.52
  5. Step 5: Solve for x
    x = 34,749,116.52/7,876.94
  6. Step 6: Final answer
    x = 4,411.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.