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Finding the Fourth Proportional to 6,561.67, 9,841.59 and 1,882.08

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Solution

The fourth proportional to 6,561.67, 9,841.59 and 1,882.08 is: 2,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.67 : 9,841.59 = 1,882.08 : x
  2. Step 2: Convert to fraction form
    6,561.67/9,841.59 = 1,882.08/x
  3. Step 3: Cross multiply
    6,561.67x = 9,841.59 × 1,882.08
  4. Step 4: Simplify right side
    6,561.67x = 18,522,659.71
  5. Step 5: Solve for x
    x = 18,522,659.71/6,561.67
  6. Step 6: Final answer
    x = 2,822.86

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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.