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Finding the Fourth Proportional to 9,796.47, 13,510.80 and 6,609.25

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Solution

The fourth proportional to 9,796.47, 13,510.80 and 6,609.25 is: 9,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.47 : 13,510.80 = 6,609.25 : x
  2. Step 2: Convert to fraction form
    9,796.47/13,510.80 = 6,609.25/x
  3. Step 3: Cross multiply
    9,796.47x = 13,510.80 × 6,609.25
  4. Step 4: Simplify right side
    9,796.47x = 89,296,309.79
  5. Step 5: Solve for x
    x = 89,296,309.79/9,796.47
  6. Step 6: Final answer
    x = 9,115.15

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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.