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Finding the Fourth Proportional to 12,082.47, 16,673.94 and 6,705

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Solution

The fourth proportional to 12,082.47, 16,673.94 and 6,705 is: 9,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.47 : 16,673.94 = 6,705 : x
  2. Step 2: Convert to fraction form
    12,082.47/16,673.94 = 6,705/x
  3. Step 3: Cross multiply
    12,082.47x = 16,673.94 × 6,705
  4. Step 4: Simplify right side
    12,082.47x = 111,798,767.70
  5. Step 5: Solve for x
    x = 111,798,767.70/12,082.47
  6. Step 6: Final answer
    x = 9,252.97

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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.