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Finding the Fourth Proportional to 13,837.25, 19,095.41 and 8,248.25

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Solution

The fourth proportional to 13,837.25, 19,095.41 and 8,248.25 is: 11,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.25 : 19,095.41 = 8,248.25 : x
  2. Step 2: Convert to fraction form
    13,837.25/19,095.41 = 8,248.25/x
  3. Step 3: Cross multiply
    13,837.25x = 19,095.41 × 8,248.25
  4. Step 4: Simplify right side
    13,837.25x = 157,503,715.53
  5. Step 5: Solve for x
    x = 157,503,715.53/13,837.25
  6. Step 6: Final answer
    x = 11,382.59

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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.