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Finding the Fourth Proportional to 7,857.65, 10,842.72 and 4,500.14

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Solution

The fourth proportional to 7,857.65, 10,842.72 and 4,500.14 is: 6,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.65 : 10,842.72 = 4,500.14 : x
  2. Step 2: Convert to fraction form
    7,857.65/10,842.72 = 4,500.14/x
  3. Step 3: Cross multiply
    7,857.65x = 10,842.72 × 4,500.14
  4. Step 4: Simplify right side
    7,857.65x = 48,793,757.98
  5. Step 5: Solve for x
    x = 48,793,757.98/7,857.65
  6. Step 6: Final answer
    x = 6,209.71

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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.