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Finding the Fourth Proportional to 4,895.97, 6,774.24 and 4,267.82

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Solution

The fourth proportional to 4,895.97, 6,774.24 and 4,267.82 is: 5,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.97 : 6,774.24 = 4,267.82 : x
  2. Step 2: Convert to fraction form
    4,895.97/6,774.24 = 4,267.82/x
  3. Step 3: Cross multiply
    4,895.97x = 6,774.24 × 4,267.82
  4. Step 4: Simplify right side
    4,895.97x = 28,911,203.09
  5. Step 5: Solve for x
    x = 28,911,203.09/4,895.97
  6. Step 6: Final answer
    x = 5,905.10

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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.