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Finding the Fourth Proportional to 6,514.54, 9,772.98 and 3,219.46

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Solution

The fourth proportional to 6,514.54, 9,772.98 and 3,219.46 is: 4,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.54 : 9,772.98 = 3,219.46 : x
  2. Step 2: Convert to fraction form
    6,514.54/9,772.98 = 3,219.46/x
  3. Step 3: Cross multiply
    6,514.54x = 9,772.98 × 3,219.46
  4. Step 4: Simplify right side
    6,514.54x = 31,463,718.19
  5. Step 5: Solve for x
    x = 31,463,718.19/6,514.54
  6. Step 6: Final answer
    x = 4,829.77

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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.