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Finding the Fourth Proportional to 8,224.66, 11,347.59 and 4,687.66

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Solution

The fourth proportional to 8,224.66, 11,347.59 and 4,687.66 is: 6,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.66 : 11,347.59 = 4,687.66 : x
  2. Step 2: Convert to fraction form
    8,224.66/11,347.59 = 4,687.66/x
  3. Step 3: Cross multiply
    8,224.66x = 11,347.59 × 4,687.66
  4. Step 4: Simplify right side
    8,224.66x = 53,193,643.74
  5. Step 5: Solve for x
    x = 53,193,643.74/8,224.66
  6. Step 6: Final answer
    x = 6,467.58

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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.