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Finding the Fourth Proportional to 7,763.64, 10,713.94 and 4,226.92

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Solution

The fourth proportional to 7,763.64, 10,713.94 and 4,226.92 is: 5,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.64 : 10,713.94 = 4,226.92 : x
  2. Step 2: Convert to fraction form
    7,763.64/10,713.94 = 4,226.92/x
  3. Step 3: Cross multiply
    7,763.64x = 10,713.94 × 4,226.92
  4. Step 4: Simplify right side
    7,763.64x = 45,286,967.26
  5. Step 5: Solve for x
    x = 45,286,967.26/7,763.64
  6. Step 6: Final answer
    x = 5,833.21

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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.