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Finding the Fourth Proportional to 13,000.68, 17,950.59 and 7,971.84

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Solution

The fourth proportional to 13,000.68, 17,950.59 and 7,971.84 is: 11,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.68 : 17,950.59 = 7,971.84 : x
  2. Step 2: Convert to fraction form
    13,000.68/17,950.59 = 7,971.84/x
  3. Step 3: Cross multiply
    13,000.68x = 17,950.59 × 7,971.84
  4. Step 4: Simplify right side
    13,000.68x = 143,099,231.39
  5. Step 5: Solve for x
    x = 143,099,231.39/13,000.68
  6. Step 6: Final answer
    x = 11,007.06

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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.