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Finding the Fourth Proportional to 15,987.70, 23,974.26 and 7,671.63

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Solution

The fourth proportional to 15,987.70, 23,974.26 and 7,671.63 is: 11,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,987.70 : 23,974.26 = 7,671.63 : x
  2. Step 2: Convert to fraction form
    15,987.70/23,974.26 = 7,671.63/x
  3. Step 3: Cross multiply
    15,987.70x = 23,974.26 × 7,671.63
  4. Step 4: Simplify right side
    15,987.70x = 183,921,613.89
  5. Step 5: Solve for x
    x = 183,921,613.89/15,987.70
  6. Step 6: Final answer
    x = 11,503.94

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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.