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Finding the Fourth Proportional to 12,466.45, 17,203.22 and 6,801.13

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Solution

The fourth proportional to 12,466.45, 17,203.22 and 6,801.13 is: 9,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.45 : 17,203.22 = 6,801.13 : x
  2. Step 2: Convert to fraction form
    12,466.45/17,203.22 = 6,801.13/x
  3. Step 3: Cross multiply
    12,466.45x = 17,203.22 × 6,801.13
  4. Step 4: Simplify right side
    12,466.45x = 117,001,301.63
  5. Step 5: Solve for x
    x = 117,001,301.63/12,466.45
  6. Step 6: Final answer
    x = 9,385.29

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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.