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Finding the Fourth Proportional to 6,866.15, 10,307.75 and 6,834.56

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Solution

The fourth proportional to 6,866.15, 10,307.75 and 6,834.56 is: 10,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.15 : 10,307.75 = 6,834.56 : x
  2. Step 2: Convert to fraction form
    6,866.15/10,307.75 = 6,834.56/x
  3. Step 3: Cross multiply
    6,866.15x = 10,307.75 × 6,834.56
  4. Step 4: Simplify right side
    6,866.15x = 70,448,850.13
  5. Step 5: Solve for x
    x = 70,448,850.13/6,866.15
  6. Step 6: Final answer
    x = 10,260.32

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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.