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Finding the Fourth Proportional to 9,640.68, 14,486.94 and 7,359.72

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Solution

The fourth proportional to 9,640.68, 14,486.94 and 7,359.72 is: 11,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.68 : 14,486.94 = 7,359.72 : x
  2. Step 2: Convert to fraction form
    9,640.68/14,486.94 = 7,359.72/x
  3. Step 3: Cross multiply
    9,640.68x = 14,486.94 × 7,359.72
  4. Step 4: Simplify right side
    9,640.68x = 106,619,822.06
  5. Step 5: Solve for x
    x = 106,619,822.06/9,640.68
  6. Step 6: Final answer
    x = 11,059.37

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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.