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Finding the Fourth Proportional to 7,970.68, 11,956 and 3,798.04

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Solution

The fourth proportional to 7,970.68, 11,956 and 3,798.04 is: 5,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.68 : 11,956 = 3,798.04 : x
  2. Step 2: Convert to fraction form
    7,970.68/11,956 = 3,798.04/x
  3. Step 3: Cross multiply
    7,970.68x = 11,956 × 3,798.04
  4. Step 4: Simplify right side
    7,970.68x = 45,409,366.24
  5. Step 5: Solve for x
    x = 45,409,366.24/7,970.68
  6. Step 6: Final answer
    x = 5,697.05

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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.