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Finding the Fourth Proportional to 9,974.15, 14,960.03 and 4,130.15

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Solution

The fourth proportional to 9,974.15, 14,960.03 and 4,130.15 is: 6,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.15 : 14,960.03 = 4,130.15 : x
  2. Step 2: Convert to fraction form
    9,974.15/14,960.03 = 4,130.15/x
  3. Step 3: Cross multiply
    9,974.15x = 14,960.03 × 4,130.15
  4. Step 4: Simplify right side
    9,974.15x = 61,787,147.25
  5. Step 5: Solve for x
    x = 61,787,147.25/9,974.15
  6. Step 6: Final answer
    x = 6,194.73

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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.