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Finding the Fourth Proportional to 7,799.94, 10,763.64 and 4,263.06

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Solution

The fourth proportional to 7,799.94, 10,763.64 and 4,263.06 is: 5,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.94 : 10,763.64 = 4,263.06 : x
  2. Step 2: Convert to fraction form
    7,799.94/10,763.64 = 4,263.06/x
  3. Step 3: Cross multiply
    7,799.94x = 10,763.64 × 4,263.06
  4. Step 4: Simplify right side
    7,799.94x = 45,886,043.14
  5. Step 5: Solve for x
    x = 45,886,043.14/7,799.94
  6. Step 6: Final answer
    x = 5,882.87

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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.