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Finding the Fourth Proportional to 8,228.63, 11,355.77 and 4,502.63

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Solution

The fourth proportional to 8,228.63, 11,355.77 and 4,502.63 is: 6,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.63 : 11,355.77 = 4,502.63 : x
  2. Step 2: Convert to fraction form
    8,228.63/11,355.77 = 4,502.63/x
  3. Step 3: Cross multiply
    8,228.63x = 11,355.77 × 4,502.63
  4. Step 4: Simplify right side
    8,228.63x = 51,130,830.68
  5. Step 5: Solve for x
    x = 51,130,830.68/8,228.63
  6. Step 6: Final answer
    x = 6,213.77

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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.