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Finding the Fourth Proportional to 6,561.32, 9,058.38 and 6,187.64

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Solution

The fourth proportional to 6,561.32, 9,058.38 and 6,187.64 is: 8,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.32 : 9,058.38 = 6,187.64 : x
  2. Step 2: Convert to fraction form
    6,561.32/9,058.38 = 6,187.64/x
  3. Step 3: Cross multiply
    6,561.32x = 9,058.38 × 6,187.64
  4. Step 4: Simplify right side
    6,561.32x = 56,049,994.42
  5. Step 5: Solve for x
    x = 56,049,994.42/6,561.32
  6. Step 6: Final answer
    x = 8,542.49

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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.