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Finding the Fourth Proportional to 11,398.94, 17,098.58 and 5,159.16

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Solution

The fourth proportional to 11,398.94, 17,098.58 and 5,159.16 is: 7,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.94 : 17,098.58 = 5,159.16 : x
  2. Step 2: Convert to fraction form
    11,398.94/17,098.58 = 5,159.16/x
  3. Step 3: Cross multiply
    11,398.94x = 17,098.58 × 5,159.16
  4. Step 4: Simplify right side
    11,398.94x = 88,214,309.99
  5. Step 5: Solve for x
    x = 88,214,309.99/11,398.94
  6. Step 6: Final answer
    x = 7,738.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.