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Finding the Fourth Proportional to 5,675.85, 7,824.59 and 4,414.68

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Solution

The fourth proportional to 5,675.85, 7,824.59 and 4,414.68 is: 6,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.85 : 7,824.59 = 4,414.68 : x
  2. Step 2: Convert to fraction form
    5,675.85/7,824.59 = 4,414.68/x
  3. Step 3: Cross multiply
    5,675.85x = 7,824.59 × 4,414.68
  4. Step 4: Simplify right side
    5,675.85x = 34,543,038.91
  5. Step 5: Solve for x
    x = 34,543,038.91/5,675.85
  6. Step 6: Final answer
    x = 6,085.97

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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.