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Finding the Fourth Proportional to 12,801.59, 19,206.97 and 6,564.54

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Solution

The fourth proportional to 12,801.59, 19,206.97 and 6,564.54 is: 9,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.59 : 19,206.97 = 6,564.54 : x
  2. Step 2: Convert to fraction form
    12,801.59/19,206.97 = 6,564.54/x
  3. Step 3: Cross multiply
    12,801.59x = 19,206.97 × 6,564.54
  4. Step 4: Simplify right side
    12,801.59x = 126,085,015.38
  5. Step 5: Solve for x
    x = 126,085,015.38/12,801.59
  6. Step 6: Final answer
    x = 9,849.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.