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Finding the Fourth Proportional to 12,082.64, 16,670.61 and 7,047.08

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Solution

The fourth proportional to 12,082.64, 16,670.61 and 7,047.08 is: 9,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.64 : 16,670.61 = 7,047.08 : x
  2. Step 2: Convert to fraction form
    12,082.64/16,670.61 = 7,047.08/x
  3. Step 3: Cross multiply
    12,082.64x = 16,670.61 × 7,047.08
  4. Step 4: Simplify right side
    12,082.64x = 117,479,122.32
  5. Step 5: Solve for x
    x = 117,479,122.32/12,082.64
  6. Step 6: Final answer
    x = 9,722.97

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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.