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Finding the Fourth Proportional to 6,652.17, 9,982.71 and 4,188.69

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Solution

The fourth proportional to 6,652.17, 9,982.71 and 4,188.69 is: 6,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.17 : 9,982.71 = 4,188.69 : x
  2. Step 2: Convert to fraction form
    6,652.17/9,982.71 = 4,188.69/x
  3. Step 3: Cross multiply
    6,652.17x = 9,982.71 × 4,188.69
  4. Step 4: Simplify right side
    6,652.17x = 41,814,477.55
  5. Step 5: Solve for x
    x = 41,814,477.55/6,652.17
  6. Step 6: Final answer
    x = 6,285.84

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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.