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Finding the Fourth Proportional to 29,974.16, 44,960.88 and 7,785.56

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Solution

The fourth proportional to 29,974.16, 44,960.88 and 7,785.56 is: 11,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.16 : 44,960.88 = 7,785.56 : x
  2. Step 2: Convert to fraction form
    29,974.16/44,960.88 = 7,785.56/x
  3. Step 3: Cross multiply
    29,974.16x = 44,960.88 × 7,785.56
  4. Step 4: Simplify right side
    29,974.16x = 350,045,628.89
  5. Step 5: Solve for x
    x = 350,045,628.89/29,974.16
  6. Step 6: Final answer
    x = 11,678.25

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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.