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Finding the Fourth Proportional to 9,644.64, 13,310.28 and 5,452.92

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Solution

The fourth proportional to 9,644.64, 13,310.28 and 5,452.92 is: 7,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.64 : 13,310.28 = 5,452.92 : x
  2. Step 2: Convert to fraction form
    9,644.64/13,310.28 = 5,452.92/x
  3. Step 3: Cross multiply
    9,644.64x = 13,310.28 × 5,452.92
  4. Step 4: Simplify right side
    9,644.64x = 72,579,892.02
  5. Step 5: Solve for x
    x = 72,579,892.02/9,644.64
  6. Step 6: Final answer
    x = 7,525.41

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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.