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Finding the Fourth Proportional to 9,644.63, 13,317.14 and 7,402.96

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Solution

The fourth proportional to 9,644.63, 13,317.14 and 7,402.96 is: 10,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.63 : 13,317.14 = 7,402.96 : x
  2. Step 2: Convert to fraction form
    9,644.63/13,317.14 = 7,402.96/x
  3. Step 3: Cross multiply
    9,644.63x = 13,317.14 × 7,402.96
  4. Step 4: Simplify right side
    9,644.63x = 98,586,239.95
  5. Step 5: Solve for x
    x = 98,586,239.95/9,644.63
  6. Step 6: Final answer
    x = 10,221.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.