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Finding the Fourth Proportional to 9,164.88, 13,739.04 and 5,646.24

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Solution

The fourth proportional to 9,164.88, 13,739.04 and 5,646.24 is: 8,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.88 : 13,739.04 = 5,646.24 : x
  2. Step 2: Convert to fraction form
    9,164.88/13,739.04 = 5,646.24/x
  3. Step 3: Cross multiply
    9,164.88x = 13,739.04 × 5,646.24
  4. Step 4: Simplify right side
    9,164.88x = 77,573,917.21
  5. Step 5: Solve for x
    x = 77,573,917.21/9,164.88
  6. Step 6: Final answer
    x = 8,464.26

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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.