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Finding the Fourth Proportional to 9,054.14, 12,496.47 and 5,904.86

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Solution

The fourth proportional to 9,054.14, 12,496.47 and 5,904.86 is: 8,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.14 : 12,496.47 = 5,904.86 : x
  2. Step 2: Convert to fraction form
    9,054.14/12,496.47 = 5,904.86/x
  3. Step 3: Cross multiply
    9,054.14x = 12,496.47 × 5,904.86
  4. Step 4: Simplify right side
    9,054.14x = 73,789,905.84
  5. Step 5: Solve for x
    x = 73,789,905.84/9,054.14
  6. Step 6: Final answer
    x = 8,149.85

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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.