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Finding the Fourth Proportional to 10,574.56, 15,861.20 and 4,000.64

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Solution

The fourth proportional to 10,574.56, 15,861.20 and 4,000.64 is: 6,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.56 : 15,861.20 = 4,000.64 : x
  2. Step 2: Convert to fraction form
    10,574.56/15,861.20 = 4,000.64/x
  3. Step 3: Cross multiply
    10,574.56x = 15,861.20 × 4,000.64
  4. Step 4: Simplify right side
    10,574.56x = 63,454,951.17
  5. Step 5: Solve for x
    x = 63,454,951.17/10,574.56
  6. Step 6: Final answer
    x = 6,000.72

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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.