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Finding the Fourth Proportional to 11,565.64, 15,968.29 and 7,794.41

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Solution

The fourth proportional to 11,565.64, 15,968.29 and 7,794.41 is: 10,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.64 : 15,968.29 = 7,794.41 : x
  2. Step 2: Convert to fraction form
    11,565.64/15,968.29 = 7,794.41/x
  3. Step 3: Cross multiply
    11,565.64x = 15,968.29 × 7,794.41
  4. Step 4: Simplify right side
    11,565.64x = 124,463,399.26
  5. Step 5: Solve for x
    x = 124,463,399.26/11,565.64
  6. Step 6: Final answer
    x = 10,761.48

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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.