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Finding the Fourth Proportional to 8,228.25, 11,354.99 and 4,502.25

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Solution

The fourth proportional to 8,228.25, 11,354.99 and 4,502.25 is: 6,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.25 : 11,354.99 = 4,502.25 : x
  2. Step 2: Convert to fraction form
    8,228.25/11,354.99 = 4,502.25/x
  3. Step 3: Cross multiply
    8,228.25x = 11,354.99 × 4,502.25
  4. Step 4: Simplify right side
    8,228.25x = 51,122,981.22
  5. Step 5: Solve for x
    x = 51,122,981.22/8,228.25
  6. Step 6: Final answer
    x = 6,213.11

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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.