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Finding the Fourth Proportional to 9,882.69, 14,824.22 and 4,334.91

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Solution

The fourth proportional to 9,882.69, 14,824.22 and 4,334.91 is: 6,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.69 : 14,824.22 = 4,334.91 : x
  2. Step 2: Convert to fraction form
    9,882.69/14,824.22 = 4,334.91/x
  3. Step 3: Cross multiply
    9,882.69x = 14,824.22 × 4,334.91
  4. Step 4: Simplify right side
    9,882.69x = 64,261,637.85
  5. Step 5: Solve for x
    x = 64,261,637.85/9,882.69
  6. Step 6: Final answer
    x = 6,502.44

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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.