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Finding the Fourth Proportional to 9,083.08, 12,522.90 and 5,938.12

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Solution

The fourth proportional to 9,083.08, 12,522.90 and 5,938.12 is: 8,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.08 : 12,522.90 = 5,938.12 : x
  2. Step 2: Convert to fraction form
    9,083.08/12,522.90 = 5,938.12/x
  3. Step 3: Cross multiply
    9,083.08x = 12,522.90 × 5,938.12
  4. Step 4: Simplify right side
    9,083.08x = 74,362,482.95
  5. Step 5: Solve for x
    x = 74,362,482.95/9,083.08
  6. Step 6: Final answer
    x = 8,186.92

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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.