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Finding the Fourth Proportional to 5,006.16, 6,905.16 and 3,514.14

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Solution

The fourth proportional to 5,006.16, 6,905.16 and 3,514.14 is: 4,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.16 : 6,905.16 = 3,514.14 : x
  2. Step 2: Convert to fraction form
    5,006.16/6,905.16 = 3,514.14/x
  3. Step 3: Cross multiply
    5,006.16x = 6,905.16 × 3,514.14
  4. Step 4: Simplify right side
    5,006.16x = 24,265,698.96
  5. Step 5: Solve for x
    x = 24,265,698.96/5,006.16
  6. Step 6: Final answer
    x = 4,847.17

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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.