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Finding the Fourth Proportional to 6,881.85, 9,498.47 and 4,524.21

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Solution

The fourth proportional to 6,881.85, 9,498.47 and 4,524.21 is: 6,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.85 : 9,498.47 = 4,524.21 : x
  2. Step 2: Convert to fraction form
    6,881.85/9,498.47 = 4,524.21/x
  3. Step 3: Cross multiply
    6,881.85x = 9,498.47 × 4,524.21
  4. Step 4: Simplify right side
    6,881.85x = 42,973,050.34
  5. Step 5: Solve for x
    x = 42,973,050.34/6,881.85
  6. Step 6: Final answer
    x = 6,244.40

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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.