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Finding the Fourth Proportional to 9,602.32, 13,257.22 and 7,359.96

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Solution

The fourth proportional to 9,602.32, 13,257.22 and 7,359.96 is: 10,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.32 : 13,257.22 = 7,359.96 : x
  2. Step 2: Convert to fraction form
    9,602.32/13,257.22 = 7,359.96/x
  3. Step 3: Cross multiply
    9,602.32x = 13,257.22 × 7,359.96
  4. Step 4: Simplify right side
    9,602.32x = 97,572,608.91
  5. Step 5: Solve for x
    x = 97,572,608.91/9,602.32
  6. Step 6: Final answer
    x = 10,161.36

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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.