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Finding the Fourth Proportional to 7,165.70, 9,887.55 and 4,099.31

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Solution

The fourth proportional to 7,165.70, 9,887.55 and 4,099.31 is: 5,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.70 : 9,887.55 = 4,099.31 : x
  2. Step 2: Convert to fraction form
    7,165.70/9,887.55 = 4,099.31/x
  3. Step 3: Cross multiply
    7,165.70x = 9,887.55 × 4,099.31
  4. Step 4: Simplify right side
    7,165.70x = 40,532,083.15
  5. Step 5: Solve for x
    x = 40,532,083.15/7,165.70
  6. Step 6: Final answer
    x = 5,656.41

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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.