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Finding the Fourth Proportional to 6,528.42, 9,781.48 and 4,305.90

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Solution

The fourth proportional to 6,528.42, 9,781.48 and 4,305.90 is: 6,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.42 : 9,781.48 = 4,305.90 : x
  2. Step 2: Convert to fraction form
    6,528.42/9,781.48 = 4,305.90/x
  3. Step 3: Cross multiply
    6,528.42x = 9,781.48 × 4,305.90
  4. Step 4: Simplify right side
    6,528.42x = 42,118,074.73
  5. Step 5: Solve for x
    x = 42,118,074.73/6,528.42
  6. Step 6: Final answer
    x = 6,451.50

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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.