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Finding the Fourth Proportional to 5,243.97, 7,867.12 and 1,735.08

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Solution

The fourth proportional to 5,243.97, 7,867.12 and 1,735.08 is: 2,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.97 : 7,867.12 = 1,735.08 : x
  2. Step 2: Convert to fraction form
    5,243.97/7,867.12 = 1,735.08/x
  3. Step 3: Cross multiply
    5,243.97x = 7,867.12 × 1,735.08
  4. Step 4: Simplify right side
    5,243.97x = 13,650,082.57
  5. Step 5: Solve for x
    x = 13,650,082.57/5,243.97
  6. Step 6: Final answer
    x = 2,603.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.