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Finding the Fourth Proportional to 5,609.60, 7,732.14 and 4,486.94

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Solution

The fourth proportional to 5,609.60, 7,732.14 and 4,486.94 is: 6,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.60 : 7,732.14 = 4,486.94 : x
  2. Step 2: Convert to fraction form
    5,609.60/7,732.14 = 4,486.94/x
  3. Step 3: Cross multiply
    5,609.60x = 7,732.14 × 4,486.94
  4. Step 4: Simplify right side
    5,609.60x = 34,693,648.25
  5. Step 5: Solve for x
    x = 34,693,648.25/5,609.60
  6. Step 6: Final answer
    x = 6,184.69

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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.