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Finding the Fourth Proportional to 23,870.78, 35,813.82 and 9,837.38

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Solution

The fourth proportional to 23,870.78, 35,813.82 and 9,837.38 is: 14,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.78 : 35,813.82 = 9,837.38 : x
  2. Step 2: Convert to fraction form
    23,870.78/35,813.82 = 9,837.38/x
  3. Step 3: Cross multiply
    23,870.78x = 35,813.82 × 9,837.38
  4. Step 4: Simplify right side
    23,870.78x = 352,314,156.59
  5. Step 5: Solve for x
    x = 352,314,156.59/23,870.78
  6. Step 6: Final answer
    x = 14,759.22

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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.