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Finding the Fourth Proportional to 12,393, 17,094.24 and 9,046.08

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Solution

The fourth proportional to 12,393, 17,094.24 and 9,046.08 is: 12,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393 : 17,094.24 = 9,046.08 : x
  2. Step 2: Convert to fraction form
    12,393/17,094.24 = 9,046.08/x
  3. Step 3: Cross multiply
    12,393x = 17,094.24 × 9,046.08
  4. Step 4: Simplify right side
    12,393x = 154,635,862.58
  5. Step 5: Solve for x
    x = 154,635,862.58/12,393
  6. Step 6: Final answer
    x = 12,477.68

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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.