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Finding the Fourth Proportional to 9,491.41, 14,240.16 and 4,561.41

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Solution

The fourth proportional to 9,491.41, 14,240.16 and 4,561.41 is: 6,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.41 : 14,240.16 = 4,561.41 : x
  2. Step 2: Convert to fraction form
    9,491.41/14,240.16 = 4,561.41/x
  3. Step 3: Cross multiply
    9,491.41x = 14,240.16 × 4,561.41
  4. Step 4: Simplify right side
    9,491.41x = 64,955,208.23
  5. Step 5: Solve for x
    x = 64,955,208.23/9,491.41
  6. Step 6: Final answer
    x = 6,843.58

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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.