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Finding the Fourth Proportional to 6,655.68, 9,981.09 and 2,271.96

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Solution

The fourth proportional to 6,655.68, 9,981.09 and 2,271.96 is: 3,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.68 : 9,981.09 = 2,271.96 : x
  2. Step 2: Convert to fraction form
    6,655.68/9,981.09 = 2,271.96/x
  3. Step 3: Cross multiply
    6,655.68x = 9,981.09 × 2,271.96
  4. Step 4: Simplify right side
    6,655.68x = 22,676,637.24
  5. Step 5: Solve for x
    x = 22,676,637.24/6,655.68
  6. Step 6: Final answer
    x = 3,407.11

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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.