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Finding the Fourth Proportional to 13,894.52, 19,175.53 and 7,924.82

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Solution

The fourth proportional to 13,894.52, 19,175.53 and 7,924.82 is: 10,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.52 : 19,175.53 = 7,924.82 : x
  2. Step 2: Convert to fraction form
    13,894.52/19,175.53 = 7,924.82/x
  3. Step 3: Cross multiply
    13,894.52x = 19,175.53 × 7,924.82
  4. Step 4: Simplify right side
    13,894.52x = 151,962,595.53
  5. Step 5: Solve for x
    x = 151,962,595.53/13,894.52
  6. Step 6: Final answer
    x = 10,936.87

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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.