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Finding the Fourth Proportional to 13,208.67, 19,814.73 and 6,968.94

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Solution

The fourth proportional to 13,208.67, 19,814.73 and 6,968.94 is: 10,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.67 : 19,814.73 = 6,968.94 : x
  2. Step 2: Convert to fraction form
    13,208.67/19,814.73 = 6,968.94/x
  3. Step 3: Cross multiply
    13,208.67x = 19,814.73 × 6,968.94
  4. Step 4: Simplify right side
    13,208.67x = 138,087,664.49
  5. Step 5: Solve for x
    x = 138,087,664.49/13,208.67
  6. Step 6: Final answer
    x = 10,454.32

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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.