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Finding the Fourth Proportional to 6,554.97, 9,826.92 and 2,854.49

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Solution

The fourth proportional to 6,554.97, 9,826.92 and 2,854.49 is: 4,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.97 : 9,826.92 = 2,854.49 : x
  2. Step 2: Convert to fraction form
    6,554.97/9,826.92 = 2,854.49/x
  3. Step 3: Cross multiply
    6,554.97x = 9,826.92 × 2,854.49
  4. Step 4: Simplify right side
    6,554.97x = 28,050,795.74
  5. Step 5: Solve for x
    x = 28,050,795.74/6,554.97
  6. Step 6: Final answer
    x = 4,279.32

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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.