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Finding the Fourth Proportional to 9,843.84, 13,586.40 and 6,311.52

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Solution

The fourth proportional to 9,843.84, 13,586.40 and 6,311.52 is: 8,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.84 : 13,586.40 = 6,311.52 : x
  2. Step 2: Convert to fraction form
    9,843.84/13,586.40 = 6,311.52/x
  3. Step 3: Cross multiply
    9,843.84x = 13,586.40 × 6,311.52
  4. Step 4: Simplify right side
    9,843.84x = 85,750,835.33
  5. Step 5: Solve for x
    x = 85,750,835.33/9,843.84
  6. Step 6: Final answer
    x = 8,711.12

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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.