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Finding the Fourth Proportional to 6,543.68, 9,032.22 and 3,892.70

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Solution

The fourth proportional to 6,543.68, 9,032.22 and 3,892.70 is: 5,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.68 : 9,032.22 = 3,892.70 : x
  2. Step 2: Convert to fraction form
    6,543.68/9,032.22 = 3,892.70/x
  3. Step 3: Cross multiply
    6,543.68x = 9,032.22 × 3,892.70
  4. Step 4: Simplify right side
    6,543.68x = 35,159,722.79
  5. Step 5: Solve for x
    x = 35,159,722.79/6,543.68
  6. Step 6: Final answer
    x = 5,373.08

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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.