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Finding the Fourth Proportional to 6,967.68, 10,443.84 and 3,312

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Solution

The fourth proportional to 6,967.68, 10,443.84 and 3,312 is: 4,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.68 : 10,443.84 = 3,312 : x
  2. Step 2: Convert to fraction form
    6,967.68/10,443.84 = 3,312/x
  3. Step 3: Cross multiply
    6,967.68x = 10,443.84 × 3,312
  4. Step 4: Simplify right side
    6,967.68x = 34,589,998.08
  5. Step 5: Solve for x
    x = 34,589,998.08/6,967.68
  6. Step 6: Final answer
    x = 4,964.35

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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.