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Finding the Fourth Proportional to 19,809.14, 29,696.77 and 7,326.84

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Solution

The fourth proportional to 19,809.14, 29,696.77 and 7,326.84 is: 10,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.14 : 29,696.77 = 7,326.84 : x
  2. Step 2: Convert to fraction form
    19,809.14/29,696.77 = 7,326.84/x
  3. Step 3: Cross multiply
    19,809.14x = 29,696.77 × 7,326.84
  4. Step 4: Simplify right side
    19,809.14x = 217,583,482.31
  5. Step 5: Solve for x
    x = 217,583,482.31/19,809.14
  6. Step 6: Final answer
    x = 10,983.99

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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.