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Finding the Fourth Proportional to 7,792.59, 11,682.37 and 3,630.45

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Solution

The fourth proportional to 7,792.59, 11,682.37 and 3,630.45 is: 5,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.59 : 11,682.37 = 3,630.45 : x
  2. Step 2: Convert to fraction form
    7,792.59/11,682.37 = 3,630.45/x
  3. Step 3: Cross multiply
    7,792.59x = 11,682.37 × 3,630.45
  4. Step 4: Simplify right side
    7,792.59x = 42,412,260.17
  5. Step 5: Solve for x
    x = 42,412,260.17/7,792.59
  6. Step 6: Final answer
    x = 5,442.64

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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.