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Finding the Fourth Proportional to 9,957.49, 13,741.34 and 5,481.22

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Solution

The fourth proportional to 9,957.49, 13,741.34 and 5,481.22 is: 7,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.49 : 13,741.34 = 5,481.22 : x
  2. Step 2: Convert to fraction form
    9,957.49/13,741.34 = 5,481.22/x
  3. Step 3: Cross multiply
    9,957.49x = 13,741.34 × 5,481.22
  4. Step 4: Simplify right side
    9,957.49x = 75,319,280.23
  5. Step 5: Solve for x
    x = 75,319,280.23/9,957.49
  6. Step 6: Final answer
    x = 7,564.08

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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.