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Finding the Fourth Proportional to 15,900.84, 23,843.25 and 6,538.25

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Solution

The fourth proportional to 15,900.84, 23,843.25 and 6,538.25 is: 9,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.84 : 23,843.25 = 6,538.25 : x
  2. Step 2: Convert to fraction form
    15,900.84/23,843.25 = 6,538.25/x
  3. Step 3: Cross multiply
    15,900.84x = 23,843.25 × 6,538.25
  4. Step 4: Simplify right side
    15,900.84x = 155,893,010.10
  5. Step 5: Solve for x
    x = 155,893,010.10/15,900.84
  6. Step 6: Final answer
    x = 9,804.07

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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.