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Finding the Fourth Proportional to 6,535.78, 9,015.30 and 5,738.47

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Solution

The fourth proportional to 6,535.78, 9,015.30 and 5,738.47 is: 7,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.78 : 9,015.30 = 5,738.47 : x
  2. Step 2: Convert to fraction form
    6,535.78/9,015.30 = 5,738.47/x
  3. Step 3: Cross multiply
    6,535.78x = 9,015.30 × 5,738.47
  4. Step 4: Simplify right side
    6,535.78x = 51,734,028.59
  5. Step 5: Solve for x
    x = 51,734,028.59/6,535.78
  6. Step 6: Final answer
    x = 7,915.51

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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.