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Finding the Fourth Proportional to 12,097.82, 16,695.42 and 7,065.26

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Solution

The fourth proportional to 12,097.82, 16,695.42 and 7,065.26 is: 9,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.82 : 16,695.42 = 7,065.26 : x
  2. Step 2: Convert to fraction form
    12,097.82/16,695.42 = 7,065.26/x
  3. Step 3: Cross multiply
    12,097.82x = 16,695.42 × 7,065.26
  4. Step 4: Simplify right side
    12,097.82x = 117,957,483.11
  5. Step 5: Solve for x
    x = 117,957,483.11/12,097.82
  6. Step 6: Final answer
    x = 9,750.31

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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.