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Finding the Fourth Proportional to 5,842.97, 8,722.83 and 5,637.93

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Solution

The fourth proportional to 5,842.97, 8,722.83 and 5,637.93 is: 8,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.97 : 8,722.83 = 5,637.93 : x
  2. Step 2: Convert to fraction form
    5,842.97/8,722.83 = 5,637.93/x
  3. Step 3: Cross multiply
    5,842.97x = 8,722.83 × 5,637.93
  4. Step 4: Simplify right side
    5,842.97x = 49,178,704.94
  5. Step 5: Solve for x
    x = 49,178,704.94/5,842.97
  6. Step 6: Final answer
    x = 8,416.73

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.