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Finding the Fourth Proportional to 6,866.84, 10,296.90 and 4,787.84

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Solution

The fourth proportional to 6,866.84, 10,296.90 and 4,787.84 is: 7,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.84 : 10,296.90 = 4,787.84 : x
  2. Step 2: Convert to fraction form
    6,866.84/10,296.90 = 4,787.84/x
  3. Step 3: Cross multiply
    6,866.84x = 10,296.90 × 4,787.84
  4. Step 4: Simplify right side
    6,866.84x = 49,299,909.70
  5. Step 5: Solve for x
    x = 49,299,909.70/6,866.84
  6. Step 6: Final answer
    x = 7,179.42

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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.