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Finding the Fourth Proportional to 9,832.64, 13,568.03 and 6,055.20

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Solution

The fourth proportional to 9,832.64, 13,568.03 and 6,055.20 is: 8,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.64 : 13,568.03 = 6,055.20 : x
  2. Step 2: Convert to fraction form
    9,832.64/13,568.03 = 6,055.20/x
  3. Step 3: Cross multiply
    9,832.64x = 13,568.03 × 6,055.20
  4. Step 4: Simplify right side
    9,832.64x = 82,157,135.26
  5. Step 5: Solve for x
    x = 82,157,135.26/9,832.64
  6. Step 6: Final answer
    x = 8,355.55

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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.