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Finding the Fourth Proportional to 12,009.81, 16,573.51 and 6,976.95

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Solution

The fourth proportional to 12,009.81, 16,573.51 and 6,976.95 is: 9,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.81 : 16,573.51 = 6,976.95 : x
  2. Step 2: Convert to fraction form
    12,009.81/16,573.51 = 6,976.95/x
  3. Step 3: Cross multiply
    12,009.81x = 16,573.51 × 6,976.95
  4. Step 4: Simplify right side
    12,009.81x = 115,632,550.59
  5. Step 5: Solve for x
    x = 115,632,550.59/12,009.81
  6. Step 6: Final answer
    x = 9,628.17

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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.