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Finding the Fourth Proportional to 6,507.77, 8,974.01 and 5,566.68

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Solution

The fourth proportional to 6,507.77, 8,974.01 and 5,566.68 is: 7,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.77 : 8,974.01 = 5,566.68 : x
  2. Step 2: Convert to fraction form
    6,507.77/8,974.01 = 5,566.68/x
  3. Step 3: Cross multiply
    6,507.77x = 8,974.01 × 5,566.68
  4. Step 4: Simplify right side
    6,507.77x = 49,955,410.65
  5. Step 5: Solve for x
    x = 49,955,410.65/6,507.77
  6. Step 6: Final answer
    x = 7,676.27

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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.