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Finding the Fourth Proportional to 9,974.40, 14,884.32 and 8,246.40

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Solution

The fourth proportional to 9,974.40, 14,884.32 and 8,246.40 is: 12,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.40 : 14,884.32 = 8,246.40 : x
  2. Step 2: Convert to fraction form
    9,974.40/14,884.32 = 8,246.40/x
  3. Step 3: Cross multiply
    9,974.40x = 14,884.32 × 8,246.40
  4. Step 4: Simplify right side
    9,974.40x = 122,742,056.45
  5. Step 5: Solve for x
    x = 122,742,056.45/9,974.40
  6. Step 6: Final answer
    x = 12,305.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.