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Finding the Fourth Proportional to 12,097.20, 16,699.43 and 7,059.51

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Solution

The fourth proportional to 12,097.20, 16,699.43 and 7,059.51 is: 9,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.20 : 16,699.43 = 7,059.51 : x
  2. Step 2: Convert to fraction form
    12,097.20/16,699.43 = 7,059.51/x
  3. Step 3: Cross multiply
    12,097.20x = 16,699.43 × 7,059.51
  4. Step 4: Simplify right side
    12,097.20x = 117,889,810.73
  5. Step 5: Solve for x
    x = 117,889,810.73/12,097.20
  6. Step 6: Final answer
    x = 9,745.21

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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.