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Finding the Fourth Proportional to 7,775.46, 11,662.94 and 1,932.05

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Solution

The fourth proportional to 7,775.46, 11,662.94 and 1,932.05 is: 2,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.46 : 11,662.94 = 1,932.05 : x
  2. Step 2: Convert to fraction form
    7,775.46/11,662.94 = 1,932.05/x
  3. Step 3: Cross multiply
    7,775.46x = 11,662.94 × 1,932.05
  4. Step 4: Simplify right side
    7,775.46x = 22,533,417.21
  5. Step 5: Solve for x
    x = 22,533,417.21/7,775.46
  6. Step 6: Final answer
    x = 2,898.02

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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.