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Finding the Fourth Proportional to 6,022, 8,305.70 and 4,602.16

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Solution

The fourth proportional to 6,022, 8,305.70 and 4,602.16 is: 6,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022 : 8,305.70 = 4,602.16 : x
  2. Step 2: Convert to fraction form
    6,022/8,305.70 = 4,602.16/x
  3. Step 3: Cross multiply
    6,022x = 8,305.70 × 4,602.16
  4. Step 4: Simplify right side
    6,022x = 38,224,160.31
  5. Step 5: Solve for x
    x = 38,224,160.31/6,022
  6. Step 6: Final answer
    x = 6,347.42

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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.