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Finding the Fourth Proportional to 12,269.68, 16,931.82 and 6,680.68

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Solution

The fourth proportional to 12,269.68, 16,931.82 and 6,680.68 is: 9,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.68 : 16,931.82 = 6,680.68 : x
  2. Step 2: Convert to fraction form
    12,269.68/16,931.82 = 6,680.68/x
  3. Step 3: Cross multiply
    12,269.68x = 16,931.82 × 6,680.68
  4. Step 4: Simplify right side
    12,269.68x = 113,116,071.24
  5. Step 5: Solve for x
    x = 113,116,071.24/12,269.68
  6. Step 6: Final answer
    x = 9,219.15

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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.