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Finding the Fourth Proportional to 7,142.53, 9,857.16 and 3,998.92

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Solution

The fourth proportional to 7,142.53, 9,857.16 and 3,998.92 is: 5,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.53 : 9,857.16 = 3,998.92 : x
  2. Step 2: Convert to fraction form
    7,142.53/9,857.16 = 3,998.92/x
  3. Step 3: Cross multiply
    7,142.53x = 9,857.16 × 3,998.92
  4. Step 4: Simplify right side
    7,142.53x = 39,417,994.27
  5. Step 5: Solve for x
    x = 39,417,994.27/7,142.53
  6. Step 6: Final answer
    x = 5,518.77

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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.