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Finding the Fourth Proportional to 6,774.72, 10,134 and 6,360

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Solution

The fourth proportional to 6,774.72, 10,134 and 6,360 is: 9,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.72 : 10,134 = 6,360 : x
  2. Step 2: Convert to fraction form
    6,774.72/10,134 = 6,360/x
  3. Step 3: Cross multiply
    6,774.72x = 10,134 × 6,360
  4. Step 4: Simplify right side
    6,774.72x = 64,452,240
  5. Step 5: Solve for x
    x = 64,452,240/6,774.72
  6. Step 6: Final answer
    x = 9,513.64

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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.