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Finding the Fourth Proportional to 7,098.53, 9,797.63 and 4,116.02

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Solution

The fourth proportional to 7,098.53, 9,797.63 and 4,116.02 is: 5,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.53 : 9,797.63 = 4,116.02 : x
  2. Step 2: Convert to fraction form
    7,098.53/9,797.63 = 4,116.02/x
  3. Step 3: Cross multiply
    7,098.53x = 9,797.63 × 4,116.02
  4. Step 4: Simplify right side
    7,098.53x = 40,327,171.46
  5. Step 5: Solve for x
    x = 40,327,171.46/7,098.53
  6. Step 6: Final answer
    x = 5,681.06

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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.