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Finding the Fourth Proportional to 9,491.99, 14,246.82 and 4,815.32

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Solution

The fourth proportional to 9,491.99, 14,246.82 and 4,815.32 is: 7,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.99 : 14,246.82 = 4,815.32 : x
  2. Step 2: Convert to fraction form
    9,491.99/14,246.82 = 4,815.32/x
  3. Step 3: Cross multiply
    9,491.99x = 14,246.82 × 4,815.32
  4. Step 4: Simplify right side
    9,491.99x = 68,602,926.05
  5. Step 5: Solve for x
    x = 68,602,926.05/9,491.99
  6. Step 6: Final answer
    x = 7,227.46

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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.