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Finding the Fourth Proportional to 9,187.62, 12,678.54 and 5,209.56

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Solution

The fourth proportional to 9,187.62, 12,678.54 and 5,209.56 is: 7,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.62 : 12,678.54 = 5,209.56 : x
  2. Step 2: Convert to fraction form
    9,187.62/12,678.54 = 5,209.56/x
  3. Step 3: Cross multiply
    9,187.62x = 12,678.54 × 5,209.56
  4. Step 4: Simplify right side
    9,187.62x = 66,049,614.84
  5. Step 5: Solve for x
    x = 66,049,614.84/9,187.62
  6. Step 6: Final answer
    x = 7,188.98

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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.