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Finding the Fourth Proportional to 12,194.51, 16,828.07 and 6,816.95

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Solution

The fourth proportional to 12,194.51, 16,828.07 and 6,816.95 is: 9,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.51 : 16,828.07 = 6,816.95 : x
  2. Step 2: Convert to fraction form
    12,194.51/16,828.07 = 6,816.95/x
  3. Step 3: Cross multiply
    12,194.51x = 16,828.07 × 6,816.95
  4. Step 4: Simplify right side
    12,194.51x = 114,716,111.79
  5. Step 5: Solve for x
    x = 114,716,111.79/12,194.51
  6. Step 6: Final answer
    x = 9,407.19

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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.