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Finding the Fourth Proportional to 7,782.27, 11,698.01 and 6,699.71

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Solution

The fourth proportional to 7,782.27, 11,698.01 and 6,699.71 is: 10,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.27 : 11,698.01 = 6,699.71 : x
  2. Step 2: Convert to fraction form
    7,782.27/11,698.01 = 6,699.71/x
  3. Step 3: Cross multiply
    7,782.27x = 11,698.01 × 6,699.71
  4. Step 4: Simplify right side
    7,782.27x = 78,373,216.09
  5. Step 5: Solve for x
    x = 78,373,216.09/7,782.27
  6. Step 6: Final answer
    x = 10,070.74

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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.