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Finding the Fourth Proportional to 7,099.04, 9,796.64 and 4,116.59

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Solution

The fourth proportional to 7,099.04, 9,796.64 and 4,116.59 is: 5,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.04 : 9,796.64 = 4,116.59 : x
  2. Step 2: Convert to fraction form
    7,099.04/9,796.64 = 4,116.59/x
  3. Step 3: Cross multiply
    7,099.04x = 9,796.64 × 4,116.59
  4. Step 4: Simplify right side
    7,099.04x = 40,328,680.69
  5. Step 5: Solve for x
    x = 40,328,680.69/7,099.04
  6. Step 6: Final answer
    x = 5,680.87

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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.