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Finding the Fourth Proportional to 6,855.16, 10,277.22 and 6,468.76

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Solution

The fourth proportional to 6,855.16, 10,277.22 and 6,468.76 is: 9,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.16 : 10,277.22 = 6,468.76 : x
  2. Step 2: Convert to fraction form
    6,855.16/10,277.22 = 6,468.76/x
  3. Step 3: Cross multiply
    6,855.16x = 10,277.22 × 6,468.76
  4. Step 4: Simplify right side
    6,855.16x = 66,480,869.65
  5. Step 5: Solve for x
    x = 66,480,869.65/6,855.16
  6. Step 6: Final answer
    x = 9,697.93

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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.