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Finding the Fourth Proportional to 6,547.18, 9,818.24 and 2,163.46

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Solution

The fourth proportional to 6,547.18, 9,818.24 and 2,163.46 is: 3,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.18 : 9,818.24 = 2,163.46 : x
  2. Step 2: Convert to fraction form
    6,547.18/9,818.24 = 2,163.46/x
  3. Step 3: Cross multiply
    6,547.18x = 9,818.24 × 2,163.46
  4. Step 4: Simplify right side
    6,547.18x = 21,241,369.51
  5. Step 5: Solve for x
    x = 21,241,369.51/6,547.18
  6. Step 6: Final answer
    x = 3,244.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.