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Finding the Fourth Proportional to 9,298.34, 13,947.49 and 7,651.46

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Solution

The fourth proportional to 9,298.34, 13,947.49 and 7,651.46 is: 11,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.34 : 13,947.49 = 7,651.46 : x
  2. Step 2: Convert to fraction form
    9,298.34/13,947.49 = 7,651.46/x
  3. Step 3: Cross multiply
    9,298.34x = 13,947.49 × 7,651.46
  4. Step 4: Simplify right side
    9,298.34x = 106,718,706.27
  5. Step 5: Solve for x
    x = 106,718,706.27/9,298.34
  6. Step 6: Final answer
    x = 11,477.17

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Similar ratio
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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.