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Finding the Fourth Proportional to 9,896.27, 14,846.93 and 7,294.74

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Solution

The fourth proportional to 9,896.27, 14,846.93 and 7,294.74 is: 10,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.27 : 14,846.93 = 7,294.74 : x
  2. Step 2: Convert to fraction form
    9,896.27/14,846.93 = 7,294.74/x
  3. Step 3: Cross multiply
    9,896.27x = 14,846.93 × 7,294.74
  4. Step 4: Simplify right side
    9,896.27x = 108,304,457.67
  5. Step 5: Solve for x
    x = 108,304,457.67/9,896.27
  6. Step 6: Final answer
    x = 10,943.97

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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.