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Finding the Fourth Proportional to 7,861.65, 10,849.30 and 4,325.09

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Solution

The fourth proportional to 7,861.65, 10,849.30 and 4,325.09 is: 5,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.65 : 10,849.30 = 4,325.09 : x
  2. Step 2: Convert to fraction form
    7,861.65/10,849.30 = 4,325.09/x
  3. Step 3: Cross multiply
    7,861.65x = 10,849.30 × 4,325.09
  4. Step 4: Simplify right side
    7,861.65x = 46,924,133.88
  5. Step 5: Solve for x
    x = 46,924,133.88/7,861.65
  6. Step 6: Final answer
    x = 5,968.74

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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.