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Finding the Fourth Proportional to 7,970.76, 11,956.02 and 3,585.12

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Solution

The fourth proportional to 7,970.76, 11,956.02 and 3,585.12 is: 5,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.76 : 11,956.02 = 3,585.12 : x
  2. Step 2: Convert to fraction form
    7,970.76/11,956.02 = 3,585.12/x
  3. Step 3: Cross multiply
    7,970.76x = 11,956.02 × 3,585.12
  4. Step 4: Simplify right side
    7,970.76x = 42,863,766.42
  5. Step 5: Solve for x
    x = 42,863,766.42/7,970.76
  6. Step 6: Final answer
    x = 5,377.63

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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.