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Finding the Fourth Proportional to 7,753.40, 11,630.13 and 2,416.64

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Solution

The fourth proportional to 7,753.40, 11,630.13 and 2,416.64 is: 3,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.40 : 11,630.13 = 2,416.64 : x
  2. Step 2: Convert to fraction form
    7,753.40/11,630.13 = 2,416.64/x
  3. Step 3: Cross multiply
    7,753.40x = 11,630.13 × 2,416.64
  4. Step 4: Simplify right side
    7,753.40x = 28,105,825.28
  5. Step 5: Solve for x
    x = 28,105,825.28/7,753.40
  6. Step 6: Final answer
    x = 3,624.97

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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.