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Finding the Fourth Proportional to 15,083.84, 20,815.68 and 8,370.48

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Solution

The fourth proportional to 15,083.84, 20,815.68 and 8,370.48 is: 11,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.84 : 20,815.68 = 8,370.48 : x
  2. Step 2: Convert to fraction form
    15,083.84/20,815.68 = 8,370.48/x
  3. Step 3: Cross multiply
    15,083.84x = 20,815.68 × 8,370.48
  4. Step 4: Simplify right side
    15,083.84x = 174,237,233.13
  5. Step 5: Solve for x
    x = 174,237,233.13/15,083.84
  6. Step 6: Final answer
    x = 11,551.25

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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.