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Finding the Fourth Proportional to 6,985.97, 10,478.98 and 6,635.59

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Solution

The fourth proportional to 6,985.97, 10,478.98 and 6,635.59 is: 9,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.97 : 10,478.98 = 6,635.59 : x
  2. Step 2: Convert to fraction form
    6,985.97/10,478.98 = 6,635.59/x
  3. Step 3: Cross multiply
    6,985.97x = 10,478.98 × 6,635.59
  4. Step 4: Simplify right side
    6,985.97x = 69,534,243.50
  5. Step 5: Solve for x
    x = 69,534,243.50/6,985.97
  6. Step 6: Final answer
    x = 9,953.41

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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.