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Finding the Fourth Proportional to 17,509.97, 26,208.65 and 9,178.31

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Solution

The fourth proportional to 17,509.97, 26,208.65 and 9,178.31 is: 13,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.97 : 26,208.65 = 9,178.31 : x
  2. Step 2: Convert to fraction form
    17,509.97/26,208.65 = 9,178.31/x
  3. Step 3: Cross multiply
    17,509.97x = 26,208.65 × 9,178.31
  4. Step 4: Simplify right side
    17,509.97x = 240,550,937.45
  5. Step 5: Solve for x
    x = 240,550,937.45/17,509.97
  6. Step 6: Final answer
    x = 13,737.95

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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.