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Finding the Fourth Proportional to 6,545.12, 9,818.16 and 3,254.84

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Solution

The fourth proportional to 6,545.12, 9,818.16 and 3,254.84 is: 4,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.12 : 9,818.16 = 3,254.84 : x
  2. Step 2: Convert to fraction form
    6,545.12/9,818.16 = 3,254.84/x
  3. Step 3: Cross multiply
    6,545.12x = 9,818.16 × 3,254.84
  4. Step 4: Simplify right side
    6,545.12x = 31,956,539.89
  5. Step 5: Solve for x
    x = 31,956,539.89/6,545.12
  6. Step 6: Final answer
    x = 4,882.50

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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.