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Finding the Fourth Proportional to 9,606.98, 13,257.17 and 5,415.22

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Solution

The fourth proportional to 9,606.98, 13,257.17 and 5,415.22 is: 7,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.98 : 13,257.17 = 5,415.22 : x
  2. Step 2: Convert to fraction form
    9,606.98/13,257.17 = 5,415.22/x
  3. Step 3: Cross multiply
    9,606.98x = 13,257.17 × 5,415.22
  4. Step 4: Simplify right side
    9,606.98x = 71,790,492.13
  5. Step 5: Solve for x
    x = 71,790,492.13/9,606.98
  6. Step 6: Final answer
    x = 7,472.74

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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.