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Finding the Fourth Proportional to 7,701.84, 11,560.08 and 4,785.84

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Solution

The fourth proportional to 7,701.84, 11,560.08 and 4,785.84 is: 7,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.84 : 11,560.08 = 4,785.84 : x
  2. Step 2: Convert to fraction form
    7,701.84/11,560.08 = 4,785.84/x
  3. Step 3: Cross multiply
    7,701.84x = 11,560.08 × 4,785.84
  4. Step 4: Simplify right side
    7,701.84x = 55,324,693.27
  5. Step 5: Solve for x
    x = 55,324,693.27/7,701.84
  6. Step 6: Final answer
    x = 7,183.31

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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.