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Finding the Fourth Proportional to 9,200.94, 12,697.38 and 5,009.19

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Solution

The fourth proportional to 9,200.94, 12,697.38 and 5,009.19 is: 6,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.94 : 12,697.38 = 5,009.19 : x
  2. Step 2: Convert to fraction form
    9,200.94/12,697.38 = 5,009.19/x
  3. Step 3: Cross multiply
    9,200.94x = 12,697.38 × 5,009.19
  4. Step 4: Simplify right side
    9,200.94x = 63,603,588.92
  5. Step 5: Solve for x
    x = 63,603,588.92/9,200.94
  6. Step 6: Final answer
    x = 6,912.73

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Half scale
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Double scale
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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.