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Finding the Fourth Proportional to 6,531.42, 9,009.96 and 4,543.68

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Solution

The fourth proportional to 6,531.42, 9,009.96 and 4,543.68 is: 6,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.42 : 9,009.96 = 4,543.68 : x
  2. Step 2: Convert to fraction form
    6,531.42/9,009.96 = 4,543.68/x
  3. Step 3: Cross multiply
    6,531.42x = 9,009.96 × 4,543.68
  4. Step 4: Simplify right side
    6,531.42x = 40,938,375.05
  5. Step 5: Solve for x
    x = 40,938,375.05/6,531.42
  6. Step 6: Final answer
    x = 6,267.91

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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.