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Finding the Fourth Proportional to 7,762.11, 11,632.79 and 3,807.32

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Solution

The fourth proportional to 7,762.11, 11,632.79 and 3,807.32 is: 5,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.11 : 11,632.79 = 3,807.32 : x
  2. Step 2: Convert to fraction form
    7,762.11/11,632.79 = 3,807.32/x
  3. Step 3: Cross multiply
    7,762.11x = 11,632.79 × 3,807.32
  4. Step 4: Simplify right side
    7,762.11x = 44,289,676.82
  5. Step 5: Solve for x
    x = 44,289,676.82/7,762.11
  6. Step 6: Final answer
    x = 5,705.88

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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.