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Finding the Fourth Proportional to 8,471.85, 12,701.46 and 3,534.48

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Solution

The fourth proportional to 8,471.85, 12,701.46 and 3,534.48 is: 5,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.85 : 12,701.46 = 3,534.48 : x
  2. Step 2: Convert to fraction form
    8,471.85/12,701.46 = 3,534.48/x
  3. Step 3: Cross multiply
    8,471.85x = 12,701.46 × 3,534.48
  4. Step 4: Simplify right side
    8,471.85x = 44,893,056.34
  5. Step 5: Solve for x
    x = 44,893,056.34/8,471.85
  6. Step 6: Final answer
    x = 5,299.09

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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.