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Finding the Fourth Proportional to 10,842.75, 14,963.01 and 5,874.75

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Solution

The fourth proportional to 10,842.75, 14,963.01 and 5,874.75 is: 8,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.75 : 14,963.01 = 5,874.75 : x
  2. Step 2: Convert to fraction form
    10,842.75/14,963.01 = 5,874.75/x
  3. Step 3: Cross multiply
    10,842.75x = 14,963.01 × 5,874.75
  4. Step 4: Simplify right side
    10,842.75x = 87,903,913.62
  5. Step 5: Solve for x
    x = 87,903,913.62/10,842.75
  6. Step 6: Final answer
    x = 8,107.16

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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.