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Finding the Fourth Proportional to 6,964.95, 10,448.79 and 6,267.84

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Solution

The fourth proportional to 6,964.95, 10,448.79 and 6,267.84 is: 9,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.95 : 10,448.79 = 6,267.84 : x
  2. Step 2: Convert to fraction form
    6,964.95/10,448.79 = 6,267.84/x
  3. Step 3: Cross multiply
    6,964.95x = 10,448.79 × 6,267.84
  4. Step 4: Simplify right side
    6,964.95x = 65,491,343.91
  5. Step 5: Solve for x
    x = 65,491,343.91/6,964.95
  6. Step 6: Final answer
    x = 9,402.99

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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.