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Finding the Fourth Proportional to 10,797.04, 16,170.36 and 8,312.14

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Solution

The fourth proportional to 10,797.04, 16,170.36 and 8,312.14 is: 12,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.04 : 16,170.36 = 8,312.14 : x
  2. Step 2: Convert to fraction form
    10,797.04/16,170.36 = 8,312.14/x
  3. Step 3: Cross multiply
    10,797.04x = 16,170.36 × 8,312.14
  4. Step 4: Simplify right side
    10,797.04x = 134,410,296.17
  5. Step 5: Solve for x
    x = 134,410,296.17/10,797.04
  6. Step 6: Final answer
    x = 12,448.81

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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.