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Finding the Fourth Proportional to 6,561.72, 9,035.82 and 5,862.84

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Solution

The fourth proportional to 6,561.72, 9,035.82 and 5,862.84 is: 8,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.72 : 9,035.82 = 5,862.84 : x
  2. Step 2: Convert to fraction form
    6,561.72/9,035.82 = 5,862.84/x
  3. Step 3: Cross multiply
    6,561.72x = 9,035.82 × 5,862.84
  4. Step 4: Simplify right side
    6,561.72x = 52,975,566.93
  5. Step 5: Solve for x
    x = 52,975,566.93/6,561.72
  6. Step 6: Final answer
    x = 8,073.43

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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.