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Finding the Fourth Proportional to 9,491.91, 14,240.91 and 4,561.91

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Solution

The fourth proportional to 9,491.91, 14,240.91 and 4,561.91 is: 6,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.91 : 14,240.91 = 4,561.91 : x
  2. Step 2: Convert to fraction form
    9,491.91/14,240.91 = 4,561.91/x
  3. Step 3: Cross multiply
    9,491.91x = 14,240.91 × 4,561.91
  4. Step 4: Simplify right side
    9,491.91x = 64,965,678.53
  5. Step 5: Solve for x
    x = 64,965,678.53/9,491.91
  6. Step 6: Final answer
    x = 6,844.32

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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.