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Finding the Fourth Proportional to 6,835.83, 10,253.73 and 5,278.11

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Solution

The fourth proportional to 6,835.83, 10,253.73 and 5,278.11 is: 7,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.83 : 10,253.73 = 5,278.11 : x
  2. Step 2: Convert to fraction form
    6,835.83/10,253.73 = 5,278.11/x
  3. Step 3: Cross multiply
    6,835.83x = 10,253.73 × 5,278.11
  4. Step 4: Simplify right side
    6,835.83x = 54,120,296.19
  5. Step 5: Solve for x
    x = 54,120,296.19/6,835.83
  6. Step 6: Final answer
    x = 7,917.16

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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.