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Finding the Fourth Proportional to 7,955.76, 10,985.59 and 6,636.38

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Solution

The fourth proportional to 7,955.76, 10,985.59 and 6,636.38 is: 9,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.76 : 10,985.59 = 6,636.38 : x
  2. Step 2: Convert to fraction form
    7,955.76/10,985.59 = 6,636.38/x
  3. Step 3: Cross multiply
    7,955.76x = 10,985.59 × 6,636.38
  4. Step 4: Simplify right side
    7,955.76x = 72,904,505.71
  5. Step 5: Solve for x
    x = 72,904,505.71/7,955.76
  6. Step 6: Final answer
    x = 9,163.74

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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.