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Finding the Fourth Proportional to 6,204.36, 8,564.22 and 4,109.16

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Solution

The fourth proportional to 6,204.36, 8,564.22 and 4,109.16 is: 5,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.36 : 8,564.22 = 4,109.16 : x
  2. Step 2: Convert to fraction form
    6,204.36/8,564.22 = 4,109.16/x
  3. Step 3: Cross multiply
    6,204.36x = 8,564.22 × 4,109.16
  4. Step 4: Simplify right side
    6,204.36x = 35,191,750.26
  5. Step 5: Solve for x
    x = 35,191,750.26/6,204.36
  6. Step 6: Final answer
    x = 5,672.10

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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.