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Finding the Fourth Proportional to 6,774.16, 10,153.86 and 4,310.08

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Solution

The fourth proportional to 6,774.16, 10,153.86 and 4,310.08 is: 6,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.16 : 10,153.86 = 4,310.08 : x
  2. Step 2: Convert to fraction form
    6,774.16/10,153.86 = 4,310.08/x
  3. Step 3: Cross multiply
    6,774.16x = 10,153.86 × 4,310.08
  4. Step 4: Simplify right side
    6,774.16x = 43,763,948.91
  5. Step 5: Solve for x
    x = 43,763,948.91/6,774.16
  6. Step 6: Final answer
    x = 6,460.42

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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.