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Finding the Fourth Proportional to 7,798.19, 11,696.49 and 1,954.80

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Solution

The fourth proportional to 7,798.19, 11,696.49 and 1,954.80 is: 2,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.19 : 11,696.49 = 1,954.80 : x
  2. Step 2: Convert to fraction form
    7,798.19/11,696.49 = 1,954.80/x
  3. Step 3: Cross multiply
    7,798.19x = 11,696.49 × 1,954.80
  4. Step 4: Simplify right side
    7,798.19x = 22,864,298.65
  5. Step 5: Solve for x
    x = 22,864,298.65/7,798.19
  6. Step 6: Final answer
    x = 2,932.00

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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.