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Finding the Fourth Proportional to 12,385, 17,095.62 and 7,082.92

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Solution

The fourth proportional to 12,385, 17,095.62 and 7,082.92 is: 9,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385 : 17,095.62 = 7,082.92 : x
  2. Step 2: Convert to fraction form
    12,385/17,095.62 = 7,082.92/x
  3. Step 3: Cross multiply
    12,385x = 17,095.62 × 7,082.92
  4. Step 4: Simplify right side
    12,385x = 121,086,908.81
  5. Step 5: Solve for x
    x = 121,086,908.81/12,385
  6. Step 6: Final answer
    x = 9,776.90

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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.