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Finding the Fourth Proportional to 6,894.38, 9,504.05 and 5,380.23

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Solution

The fourth proportional to 6,894.38, 9,504.05 and 5,380.23 is: 7,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.38 : 9,504.05 = 5,380.23 : x
  2. Step 2: Convert to fraction form
    6,894.38/9,504.05 = 5,380.23/x
  3. Step 3: Cross multiply
    6,894.38x = 9,504.05 × 5,380.23
  4. Step 4: Simplify right side
    6,894.38x = 51,133,988.38
  5. Step 5: Solve for x
    x = 51,133,988.38/6,894.38
  6. Step 6: Final answer
    x = 7,416.76

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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.