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Finding the Fourth Proportional to 10,574.60, 15,861.90 and 3,180.20

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Solution

The fourth proportional to 10,574.60, 15,861.90 and 3,180.20 is: 4,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.60 : 15,861.90 = 3,180.20 : x
  2. Step 2: Convert to fraction form
    10,574.60/15,861.90 = 3,180.20/x
  3. Step 3: Cross multiply
    10,574.60x = 15,861.90 × 3,180.20
  4. Step 4: Simplify right side
    10,574.60x = 50,444,014.38
  5. Step 5: Solve for x
    x = 50,444,014.38/10,574.60
  6. Step 6: Final answer
    x = 4,770.30

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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.