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Finding the Fourth Proportional to 9,204.54, 12,713.70 and 9,066.30

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Solution

The fourth proportional to 9,204.54, 12,713.70 and 9,066.30 is: 12,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.54 : 12,713.70 = 9,066.30 : x
  2. Step 2: Convert to fraction form
    9,204.54/12,713.70 = 9,066.30/x
  3. Step 3: Cross multiply
    9,204.54x = 12,713.70 × 9,066.30
  4. Step 4: Simplify right side
    9,204.54x = 115,266,218.31
  5. Step 5: Solve for x
    x = 115,266,218.31/9,204.54
  6. Step 6: Final answer
    x = 12,522.76

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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.