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Finding the Fourth Proportional to 11,762.24, 17,616.48 and 7,645.76

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Solution

The fourth proportional to 11,762.24, 17,616.48 and 7,645.76 is: 11,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.24 : 17,616.48 = 7,645.76 : x
  2. Step 2: Convert to fraction form
    11,762.24/17,616.48 = 7,645.76/x
  3. Step 3: Cross multiply
    11,762.24x = 17,616.48 × 7,645.76
  4. Step 4: Simplify right side
    11,762.24x = 134,691,378.12
  5. Step 5: Solve for x
    x = 134,691,378.12/11,762.24
  6. Step 6: Final answer
    x = 11,451.17

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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.