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Finding the Fourth Proportional to 10,597.64, 15,893.82 and 3,201.53

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Solution

The fourth proportional to 10,597.64, 15,893.82 and 3,201.53 is: 4,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.64 : 15,893.82 = 3,201.53 : x
  2. Step 2: Convert to fraction form
    10,597.64/15,893.82 = 3,201.53/x
  3. Step 3: Cross multiply
    10,597.64x = 15,893.82 × 3,201.53
  4. Step 4: Simplify right side
    10,597.64x = 50,884,462.08
  5. Step 5: Solve for x
    x = 50,884,462.08/10,597.64
  6. Step 6: Final answer
    x = 4,801.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.