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Finding the Fourth Proportional to 9,733, 13,431.56 and 5,541.25

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Solution

The fourth proportional to 9,733, 13,431.56 and 5,541.25 is: 7,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733 : 13,431.56 = 5,541.25 : x
  2. Step 2: Convert to fraction form
    9,733/13,431.56 = 5,541.25/x
  3. Step 3: Cross multiply
    9,733x = 13,431.56 × 5,541.25
  4. Step 4: Simplify right side
    9,733x = 74,427,631.85
  5. Step 5: Solve for x
    x = 74,427,631.85/9,733
  6. Step 6: Final answer
    x = 7,646.94

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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.