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Finding the Fourth Proportional to 6,207.58, 8,541 and 5,365.54

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Solution

The fourth proportional to 6,207.58, 8,541 and 5,365.54 is: 7,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.58 : 8,541 = 5,365.54 : x
  2. Step 2: Convert to fraction form
    6,207.58/8,541 = 5,365.54/x
  3. Step 3: Cross multiply
    6,207.58x = 8,541 × 5,365.54
  4. Step 4: Simplify right side
    6,207.58x = 45,827,077.14
  5. Step 5: Solve for x
    x = 45,827,077.14/6,207.58
  6. Step 6: Final answer
    x = 7,382.44

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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.