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Finding the Fourth Proportional to 7,201.80, 9,938.16 and 4,015.44

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Solution

The fourth proportional to 7,201.80, 9,938.16 and 4,015.44 is: 5,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.80 : 9,938.16 = 4,015.44 : x
  2. Step 2: Convert to fraction form
    7,201.80/9,938.16 = 4,015.44/x
  3. Step 3: Cross multiply
    7,201.80x = 9,938.16 × 4,015.44
  4. Step 4: Simplify right side
    7,201.80x = 39,906,085.19
  5. Step 5: Solve for x
    x = 39,906,085.19/7,201.80
  6. Step 6: Final answer
    x = 5,541.13

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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.