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Finding the Fourth Proportional to 12,094.82, 16,691.28 and 7,062.26

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Solution

The fourth proportional to 12,094.82, 16,691.28 and 7,062.26 is: 9,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.82 : 16,691.28 = 7,062.26 : x
  2. Step 2: Convert to fraction form
    12,094.82/16,691.28 = 7,062.26/x
  3. Step 3: Cross multiply
    12,094.82x = 16,691.28 × 7,062.26
  4. Step 4: Simplify right side
    12,094.82x = 117,878,159.09
  5. Step 5: Solve for x
    x = 117,878,159.09/12,094.82
  6. Step 6: Final answer
    x = 9,746.17

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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.