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Finding the Fourth Proportional to 4,658.63, 6,987.74 and 2,317.73

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Solution

The fourth proportional to 4,658.63, 6,987.74 and 2,317.73 is: 3,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.63 : 6,987.74 = 2,317.73 : x
  2. Step 2: Convert to fraction form
    4,658.63/6,987.74 = 2,317.73/x
  3. Step 3: Cross multiply
    4,658.63x = 6,987.74 × 2,317.73
  4. Step 4: Simplify right side
    4,658.63x = 16,195,648.10
  5. Step 5: Solve for x
    x = 16,195,648.10/4,658.63
  6. Step 6: Final answer
    x = 3,476.49

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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.