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Finding the Fourth Proportional to 5,239, 7,226.58 and 4,193.56

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Solution

The fourth proportional to 5,239, 7,226.58 and 4,193.56 is: 5,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239 : 7,226.58 = 4,193.56 : x
  2. Step 2: Convert to fraction form
    5,239/7,226.58 = 4,193.56/x
  3. Step 3: Cross multiply
    5,239x = 7,226.58 × 4,193.56
  4. Step 4: Simplify right side
    5,239x = 30,305,096.82
  5. Step 5: Solve for x
    x = 30,305,096.82/5,239
  6. Step 6: Final answer
    x = 5,784.52

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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.