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Finding the Fourth Proportional to 17,007.99, 23,471 and 9,454.08

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Solution

The fourth proportional to 17,007.99, 23,471 and 9,454.08 is: 13,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.99 : 23,471 = 9,454.08 : x
  2. Step 2: Convert to fraction form
    17,007.99/23,471 = 9,454.08/x
  3. Step 3: Cross multiply
    17,007.99x = 23,471 × 9,454.08
  4. Step 4: Simplify right side
    17,007.99x = 221,896,711.68
  5. Step 5: Solve for x
    x = 221,896,711.68/17,007.99
  6. Step 6: Final answer
    x = 13,046.62

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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.