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Finding the Fourth Proportional to 8,203.47, 11,321.42 and 4,666.47

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Solution

The fourth proportional to 8,203.47, 11,321.42 and 4,666.47 is: 6,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.47 : 11,321.42 = 4,666.47 : x
  2. Step 2: Convert to fraction form
    8,203.47/11,321.42 = 4,666.47/x
  3. Step 3: Cross multiply
    8,203.47x = 11,321.42 × 4,666.47
  4. Step 4: Simplify right side
    8,203.47x = 52,831,066.79
  5. Step 5: Solve for x
    x = 52,831,066.79/8,203.47
  6. Step 6: Final answer
    x = 6,440.09

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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.