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Finding the Fourth Proportional to 13,005.68, 17,957.49 and 7,976.84

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Solution

The fourth proportional to 13,005.68, 17,957.49 and 7,976.84 is: 11,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.68 : 17,957.49 = 7,976.84 : x
  2. Step 2: Convert to fraction form
    13,005.68/17,957.49 = 7,976.84/x
  3. Step 3: Cross multiply
    13,005.68x = 17,957.49 × 7,976.84
  4. Step 4: Simplify right side
    13,005.68x = 143,244,024.53
  5. Step 5: Solve for x
    x = 143,244,024.53/13,005.68
  6. Step 6: Final answer
    x = 11,013.96

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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.