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Finding the Fourth Proportional to 9,415.08, 12,992.16 and 5,223

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Solution

The fourth proportional to 9,415.08, 12,992.16 and 5,223 is: 7,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.08 : 12,992.16 = 5,223 : x
  2. Step 2: Convert to fraction form
    9,415.08/12,992.16 = 5,223/x
  3. Step 3: Cross multiply
    9,415.08x = 12,992.16 × 5,223
  4. Step 4: Simplify right side
    9,415.08x = 67,858,051.68
  5. Step 5: Solve for x
    x = 67,858,051.68/9,415.08
  6. Step 6: Final answer
    x = 7,207.38

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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.