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Finding the Fourth Proportional to 7,163.68, 9,886.74 and 4,511

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Solution

The fourth proportional to 7,163.68, 9,886.74 and 4,511 is: 6,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.68 : 9,886.74 = 4,511 : x
  2. Step 2: Convert to fraction form
    7,163.68/9,886.74 = 4,511/x
  3. Step 3: Cross multiply
    7,163.68x = 9,886.74 × 4,511
  4. Step 4: Simplify right side
    7,163.68x = 44,599,084.14
  5. Step 5: Solve for x
    x = 44,599,084.14/7,163.68
  6. Step 6: Final answer
    x = 6,225.72

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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.