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Finding the Fourth Proportional to 7,813.53, 10,778.13 and 5,826.33

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Solution

The fourth proportional to 7,813.53, 10,778.13 and 5,826.33 is: 8,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.53 : 10,778.13 = 5,826.33 : x
  2. Step 2: Convert to fraction form
    7,813.53/10,778.13 = 5,826.33/x
  3. Step 3: Cross multiply
    7,813.53x = 10,778.13 × 5,826.33
  4. Step 4: Simplify right side
    7,813.53x = 62,796,942.16
  5. Step 5: Solve for x
    x = 62,796,942.16/7,813.53
  6. Step 6: Final answer
    x = 8,036.95

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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.