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Finding the Fourth Proportional to 9,953.97, 13,735.92 and 5,476.99

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Solution

The fourth proportional to 9,953.97, 13,735.92 and 5,476.99 is: 7,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.97 : 13,735.92 = 5,476.99 : x
  2. Step 2: Convert to fraction form
    9,953.97/13,735.92 = 5,476.99/x
  3. Step 3: Cross multiply
    9,953.97x = 13,735.92 × 5,476.99
  4. Step 4: Simplify right side
    9,953.97x = 75,231,496.48
  5. Step 5: Solve for x
    x = 75,231,496.48/9,953.97
  6. Step 6: Final answer
    x = 7,557.94

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Half scale
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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.