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Finding the Fourth Proportional to 9,974.40, 14,972.40 and 6,814.08

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Solution

The fourth proportional to 9,974.40, 14,972.40 and 6,814.08 is: 10,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.40 : 14,972.40 = 6,814.08 : x
  2. Step 2: Convert to fraction form
    9,974.40/14,972.40 = 6,814.08/x
  3. Step 3: Cross multiply
    9,974.40x = 14,972.40 × 6,814.08
  4. Step 4: Simplify right side
    9,974.40x = 102,023,131.39
  5. Step 5: Solve for x
    x = 102,023,131.39/9,974.40
  6. Step 6: Final answer
    x = 10,228.50

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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.