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Finding the Fourth Proportional to 8,384.56, 11,570.20 and 4,847.52

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Solution

The fourth proportional to 8,384.56, 11,570.20 and 4,847.52 is: 6,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.56 : 11,570.20 = 4,847.52 : x
  2. Step 2: Convert to fraction form
    8,384.56/11,570.20 = 4,847.52/x
  3. Step 3: Cross multiply
    8,384.56x = 11,570.20 × 4,847.52
  4. Step 4: Simplify right side
    8,384.56x = 56,086,775.90
  5. Step 5: Solve for x
    x = 56,086,775.90/8,384.56
  6. Step 6: Final answer
    x = 6,689.29

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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.