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Finding the Fourth Proportional to 7,773.27, 10,727.07 and 4,586.58

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Solution

The fourth proportional to 7,773.27, 10,727.07 and 4,586.58 is: 6,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.27 : 10,727.07 = 4,586.58 : x
  2. Step 2: Convert to fraction form
    7,773.27/10,727.07 = 4,586.58/x
  3. Step 3: Cross multiply
    7,773.27x = 10,727.07 × 4,586.58
  4. Step 4: Simplify right side
    7,773.27x = 49,200,564.72
  5. Step 5: Solve for x
    x = 49,200,564.72/7,773.27
  6. Step 6: Final answer
    x = 6,329.46

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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.