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Finding the Fourth Proportional to 12,294.91, 16,967.46 and 6,990.22

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Solution

The fourth proportional to 12,294.91, 16,967.46 and 6,990.22 is: 9,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.91 : 16,967.46 = 6,990.22 : x
  2. Step 2: Convert to fraction form
    12,294.91/16,967.46 = 6,990.22/x
  3. Step 3: Cross multiply
    12,294.91x = 16,967.46 × 6,990.22
  4. Step 4: Simplify right side
    12,294.91x = 118,606,278.24
  5. Step 5: Solve for x
    x = 118,606,278.24/12,294.91
  6. Step 6: Final answer
    x = 9,646.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.