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Finding the Fourth Proportional to 4,658.42, 6,987.82 and 1,496.18

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Solution

The fourth proportional to 4,658.42, 6,987.82 and 1,496.18 is: 2,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.42 : 6,987.82 = 1,496.18 : x
  2. Step 2: Convert to fraction form
    4,658.42/6,987.82 = 1,496.18/x
  3. Step 3: Cross multiply
    4,658.42x = 6,987.82 × 1,496.18
  4. Step 4: Simplify right side
    4,658.42x = 10,455,036.53
  5. Step 5: Solve for x
    x = 10,455,036.53/4,658.42
  6. Step 6: Final answer
    x = 2,244.33

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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.