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Finding the Fourth Proportional to 9,987.03, 14,960.49 and 4,974.30

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Solution

The fourth proportional to 9,987.03, 14,960.49 and 4,974.30 is: 7,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.03 : 14,960.49 = 4,974.30 : x
  2. Step 2: Convert to fraction form
    9,987.03/14,960.49 = 4,974.30/x
  3. Step 3: Cross multiply
    9,987.03x = 14,960.49 × 4,974.30
  4. Step 4: Simplify right side
    9,987.03x = 74,417,965.41
  5. Step 5: Solve for x
    x = 74,417,965.41/9,987.03
  6. Step 6: Final answer
    x = 7,451.46

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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.