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Finding the Fourth Proportional to 6,647.61, 9,971.44 and 6,241.65

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Solution

The fourth proportional to 6,647.61, 9,971.44 and 6,241.65 is: 9,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.61 : 9,971.44 = 6,241.65 : x
  2. Step 2: Convert to fraction form
    6,647.61/9,971.44 = 6,241.65/x
  3. Step 3: Cross multiply
    6,647.61x = 9,971.44 × 6,241.65
  4. Step 4: Simplify right side
    6,647.61x = 62,238,238.48
  5. Step 5: Solve for x
    x = 62,238,238.48/6,647.61
  6. Step 6: Final answer
    x = 9,362.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.