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Finding the Fourth Proportional to 7,706.79, 11,552.58 and 3,023.87

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Solution

The fourth proportional to 7,706.79, 11,552.58 and 3,023.87 is: 4,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.79 : 11,552.58 = 3,023.87 : x
  2. Step 2: Convert to fraction form
    7,706.79/11,552.58 = 3,023.87/x
  3. Step 3: Cross multiply
    7,706.79x = 11,552.58 × 3,023.87
  4. Step 4: Simplify right side
    7,706.79x = 34,933,442.32
  5. Step 5: Solve for x
    x = 34,933,442.32/7,706.79
  6. Step 6: Final answer
    x = 4,532.81

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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.