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Finding the Fourth Proportional to 9,972.48, 14,950.80 and 6,844.80

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Solution

The fourth proportional to 9,972.48, 14,950.80 and 6,844.80 is: 10,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.48 : 14,950.80 = 6,844.80 : x
  2. Step 2: Convert to fraction form
    9,972.48/14,950.80 = 6,844.80/x
  3. Step 3: Cross multiply
    9,972.48x = 14,950.80 × 6,844.80
  4. Step 4: Simplify right side
    9,972.48x = 102,335,235.84
  5. Step 5: Solve for x
    x = 102,335,235.84/9,972.48
  6. Step 6: Final answer
    x = 10,261.76

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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.