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Finding the Fourth Proportional to 9,609.65, 13,261.41 and 5,361.10

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Solution

The fourth proportional to 9,609.65, 13,261.41 and 5,361.10 is: 7,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.65 : 13,261.41 = 5,361.10 : x
  2. Step 2: Convert to fraction form
    9,609.65/13,261.41 = 5,361.10/x
  3. Step 3: Cross multiply
    9,609.65x = 13,261.41 × 5,361.10
  4. Step 4: Simplify right side
    9,609.65x = 71,095,712.00
  5. Step 5: Solve for x
    x = 71,095,712.00/9,609.65
  6. Step 6: Final answer
    x = 7,398.37

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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.