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Finding the Fourth Proportional to 6,862.64, 10,292.28 and 3,739.28

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Solution

The fourth proportional to 6,862.64, 10,292.28 and 3,739.28 is: 5,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.64 : 10,292.28 = 3,739.28 : x
  2. Step 2: Convert to fraction form
    6,862.64/10,292.28 = 3,739.28/x
  3. Step 3: Cross multiply
    6,862.64x = 10,292.28 × 3,739.28
  4. Step 4: Simplify right side
    6,862.64x = 38,485,716.76
  5. Step 5: Solve for x
    x = 38,485,716.76/6,862.64
  6. Step 6: Final answer
    x = 5,608.00

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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.