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Finding the Fourth Proportional to 4,971.48, 7,454.52 and 3,216.24

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Solution

The fourth proportional to 4,971.48, 7,454.52 and 3,216.24 is: 4,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.48 : 7,454.52 = 3,216.24 : x
  2. Step 2: Convert to fraction form
    4,971.48/7,454.52 = 3,216.24/x
  3. Step 3: Cross multiply
    4,971.48x = 7,454.52 × 3,216.24
  4. Step 4: Simplify right side
    4,971.48x = 23,975,525.40
  5. Step 5: Solve for x
    x = 23,975,525.40/4,971.48
  6. Step 6: Final answer
    x = 4,822.61

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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.