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Finding the Fourth Proportional to 10,842.67, 14,962.88 and 5,874.67

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Solution

The fourth proportional to 10,842.67, 14,962.88 and 5,874.67 is: 8,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.67 : 14,962.88 = 5,874.67 : x
  2. Step 2: Convert to fraction form
    10,842.67/14,962.88 = 5,874.67/x
  3. Step 3: Cross multiply
    10,842.67x = 14,962.88 × 5,874.67
  4. Step 4: Simplify right side
    10,842.67x = 87,901,982.25
  5. Step 5: Solve for x
    x = 87,901,982.25/10,842.67
  6. Step 6: Final answer
    x = 8,107.04

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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.