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Finding the Fourth Proportional to 8,583.12, 12,839.09 and 8,058.24

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Solution

The fourth proportional to 8,583.12, 12,839.09 and 8,058.24 is: 12,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.12 : 12,839.09 = 8,058.24 : x
  2. Step 2: Convert to fraction form
    8,583.12/12,839.09 = 8,058.24/x
  3. Step 3: Cross multiply
    8,583.12x = 12,839.09 × 8,058.24
  4. Step 4: Simplify right side
    8,583.12x = 103,460,428.31
  5. Step 5: Solve for x
    x = 103,460,428.31/8,583.12
  6. Step 6: Final answer
    x = 12,053.94

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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.