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Finding the Fourth Proportional to 5,674.92, 7,831.41 and 3,157.19

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Solution

The fourth proportional to 5,674.92, 7,831.41 and 3,157.19 is: 4,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.92 : 7,831.41 = 3,157.19 : x
  2. Step 2: Convert to fraction form
    5,674.92/7,831.41 = 3,157.19/x
  3. Step 3: Cross multiply
    5,674.92x = 7,831.41 × 3,157.19
  4. Step 4: Simplify right side
    5,674.92x = 24,725,249.34
  5. Step 5: Solve for x
    x = 24,725,249.34/5,674.92
  6. Step 6: Final answer
    x = 4,356.93

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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.