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Finding the Fourth Proportional to 9,956.54, 14,934.81 and 3,031.10

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Solution

The fourth proportional to 9,956.54, 14,934.81 and 3,031.10 is: 4,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.54 : 14,934.81 = 3,031.10 : x
  2. Step 2: Convert to fraction form
    9,956.54/14,934.81 = 3,031.10/x
  3. Step 3: Cross multiply
    9,956.54x = 14,934.81 × 3,031.10
  4. Step 4: Simplify right side
    9,956.54x = 45,268,902.59
  5. Step 5: Solve for x
    x = 45,268,902.59/9,956.54
  6. Step 6: Final answer
    x = 4,546.65

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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.