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Finding the Fourth Proportional to 12,094.70, 16,691.69 and 7,059.24

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Solution

The fourth proportional to 12,094.70, 16,691.69 and 7,059.24 is: 9,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.70 : 16,691.69 = 7,059.24 : x
  2. Step 2: Convert to fraction form
    12,094.70/16,691.69 = 7,059.24/x
  3. Step 3: Cross multiply
    12,094.70x = 16,691.69 × 7,059.24
  4. Step 4: Simplify right side
    12,094.70x = 117,830,663.36
  5. Step 5: Solve for x
    x = 117,830,663.36/12,094.70
  6. Step 6: Final answer
    x = 9,742.34

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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.