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Finding the Fourth Proportional to 7,772.91, 11,659.29 and 4,653.80

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Solution

The fourth proportional to 7,772.91, 11,659.29 and 4,653.80 is: 6,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.91 : 11,659.29 = 4,653.80 : x
  2. Step 2: Convert to fraction form
    7,772.91/11,659.29 = 4,653.80/x
  3. Step 3: Cross multiply
    7,772.91x = 11,659.29 × 4,653.80
  4. Step 4: Simplify right side
    7,772.91x = 54,260,003.80
  5. Step 5: Solve for x
    x = 54,260,003.80/7,772.91
  6. Step 6: Final answer
    x = 6,980.66

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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.