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Finding the Fourth Proportional to 9,194.64, 13,784.20 and 4,195.24

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Solution

The fourth proportional to 9,194.64, 13,784.20 and 4,195.24 is: 6,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.64 : 13,784.20 = 4,195.24 : x
  2. Step 2: Convert to fraction form
    9,194.64/13,784.20 = 4,195.24/x
  3. Step 3: Cross multiply
    9,194.64x = 13,784.20 × 4,195.24
  4. Step 4: Simplify right side
    9,194.64x = 57,828,027.21
  5. Step 5: Solve for x
    x = 57,828,027.21/9,194.64
  6. Step 6: Final answer
    x = 6,289.32

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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.