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Finding the Fourth Proportional to 9,608.79, 13,261.41 and 5,631.48

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Solution

The fourth proportional to 9,608.79, 13,261.41 and 5,631.48 is: 7,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.79 : 13,261.41 = 5,631.48 : x
  2. Step 2: Convert to fraction form
    9,608.79/13,261.41 = 5,631.48/x
  3. Step 3: Cross multiply
    9,608.79x = 13,261.41 × 5,631.48
  4. Step 4: Simplify right side
    9,608.79x = 74,681,365.19
  5. Step 5: Solve for x
    x = 74,681,365.19/9,608.79
  6. Step 6: Final answer
    x = 7,772.19

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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.