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Finding the Fourth Proportional to 12,800.95, 17,664.07 and 7,697.95

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Solution

The fourth proportional to 12,800.95, 17,664.07 and 7,697.95 is: 10,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.95 : 17,664.07 = 7,697.95 : x
  2. Step 2: Convert to fraction form
    12,800.95/17,664.07 = 7,697.95/x
  3. Step 3: Cross multiply
    12,800.95x = 17,664.07 × 7,697.95
  4. Step 4: Simplify right side
    12,800.95x = 135,977,127.66
  5. Step 5: Solve for x
    x = 135,977,127.66/12,800.95
  6. Step 6: Final answer
    x = 10,622.42

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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.