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Finding the Fourth Proportional to 6,633.80, 9,972.30 and 5,683.40

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Solution

The fourth proportional to 6,633.80, 9,972.30 and 5,683.40 is: 8,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.80 : 9,972.30 = 5,683.40 : x
  2. Step 2: Convert to fraction form
    6,633.80/9,972.30 = 5,683.40/x
  3. Step 3: Cross multiply
    6,633.80x = 9,972.30 × 5,683.40
  4. Step 4: Simplify right side
    6,633.80x = 56,676,569.82
  5. Step 5: Solve for x
    x = 56,676,569.82/6,633.80
  6. Step 6: Final answer
    x = 8,543.61

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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.