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Finding the Fourth Proportional to 10,760.82, 14,844.69 and 6,984.60

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Solution

The fourth proportional to 10,760.82, 14,844.69 and 6,984.60 is: 9,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.82 : 14,844.69 = 6,984.60 : x
  2. Step 2: Convert to fraction form
    10,760.82/14,844.69 = 6,984.60/x
  3. Step 3: Cross multiply
    10,760.82x = 14,844.69 × 6,984.60
  4. Step 4: Simplify right side
    10,760.82x = 103,684,221.77
  5. Step 5: Solve for x
    x = 103,684,221.77/10,760.82
  6. Step 6: Final answer
    x = 9,635.35

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1.5x scale

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.