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Finding the Fourth Proportional to 7,762.91, 10,713.06 and 4,226.31

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Solution

The fourth proportional to 7,762.91, 10,713.06 and 4,226.31 is: 5,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.91 : 10,713.06 = 4,226.31 : x
  2. Step 2: Convert to fraction form
    7,762.91/10,713.06 = 4,226.31/x
  3. Step 3: Cross multiply
    7,762.91x = 10,713.06 × 4,226.31
  4. Step 4: Simplify right side
    7,762.91x = 45,276,712.61
  5. Step 5: Solve for x
    x = 45,276,712.61/7,762.91
  6. Step 6: Final answer
    x = 5,832.44

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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.