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Finding the Fourth Proportional to 7,642.80, 11,460.74 and 2,376.27

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Solution

The fourth proportional to 7,642.80, 11,460.74 and 2,376.27 is: 3,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.80 : 11,460.74 = 2,376.27 : x
  2. Step 2: Convert to fraction form
    7,642.80/11,460.74 = 2,376.27/x
  3. Step 3: Cross multiply
    7,642.80x = 11,460.74 × 2,376.27
  4. Step 4: Simplify right side
    7,642.80x = 27,233,800.76
  5. Step 5: Solve for x
    x = 27,233,800.76/7,642.80
  6. Step 6: Final answer
    x = 3,563.33

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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.