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Finding the Fourth Proportional to 4,607.30, 6,313.78 and 4,164.44

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Solution

The fourth proportional to 4,607.30, 6,313.78 and 4,164.44 is: 5,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.30 : 6,313.78 = 4,164.44 : x
  2. Step 2: Convert to fraction form
    4,607.30/6,313.78 = 4,164.44/x
  3. Step 3: Cross multiply
    4,607.30x = 6,313.78 × 4,164.44
  4. Step 4: Simplify right side
    4,607.30x = 26,293,357.98
  5. Step 5: Solve for x
    x = 26,293,357.98/4,607.30
  6. Step 6: Final answer
    x = 5,706.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.