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Finding the Fourth Proportional to 4,647.48, 6,394.50 and 4,016

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Solution

The fourth proportional to 4,647.48, 6,394.50 and 4,016 is: 5,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.48 : 6,394.50 = 4,016 : x
  2. Step 2: Convert to fraction form
    4,647.48/6,394.50 = 4,016/x
  3. Step 3: Cross multiply
    4,647.48x = 6,394.50 × 4,016
  4. Step 4: Simplify right side
    4,647.48x = 25,680,312
  5. Step 5: Solve for x
    x = 25,680,312/4,647.48
  6. Step 6: Final answer
    x = 5,525.64

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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.