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Finding the Fourth Proportional to 7,272.78, 10,035 and 4,288.74

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Solution

The fourth proportional to 7,272.78, 10,035 and 4,288.74 is: 5,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.78 : 10,035 = 4,288.74 : x
  2. Step 2: Convert to fraction form
    7,272.78/10,035 = 4,288.74/x
  3. Step 3: Cross multiply
    7,272.78x = 10,035 × 4,288.74
  4. Step 4: Simplify right side
    7,272.78x = 43,037,505.90
  5. Step 5: Solve for x
    x = 43,037,505.90/7,272.78
  6. Step 6: Final answer
    x = 5,917.61

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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.