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Finding the Fourth Proportional to 7,632.64, 11,459.22 and 3,937.22

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Solution

The fourth proportional to 7,632.64, 11,459.22 and 3,937.22 is: 5,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.64 : 11,459.22 = 3,937.22 : x
  2. Step 2: Convert to fraction form
    7,632.64/11,459.22 = 3,937.22/x
  3. Step 3: Cross multiply
    7,632.64x = 11,459.22 × 3,937.22
  4. Step 4: Simplify right side
    7,632.64x = 45,117,470.17
  5. Step 5: Solve for x
    x = 45,117,470.17/7,632.64
  6. Step 6: Final answer
    x = 5,911.12

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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.