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Finding the Fourth Proportional to 6,945, 9,584.10 and 4,001

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Solution

The fourth proportional to 6,945, 9,584.10 and 4,001 is: 5,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945 : 9,584.10 = 4,001 : x
  2. Step 2: Convert to fraction form
    6,945/9,584.10 = 4,001/x
  3. Step 3: Cross multiply
    6,945x = 9,584.10 × 4,001
  4. Step 4: Simplify right side
    6,945x = 38,345,984.10
  5. Step 5: Solve for x
    x = 38,345,984.10/6,945
  6. Step 6: Final answer
    x = 5,521.38

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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.