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Finding the Fourth Proportional to 6,354, 9,533.88 and 3,066.48

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Solution

The fourth proportional to 6,354, 9,533.88 and 3,066.48 is: 4,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354 : 9,533.88 = 3,066.48 : x
  2. Step 2: Convert to fraction form
    6,354/9,533.88 = 3,066.48/x
  3. Step 3: Cross multiply
    6,354x = 9,533.88 × 3,066.48
  4. Step 4: Simplify right side
    6,354x = 29,235,452.34
  5. Step 5: Solve for x
    x = 29,235,452.34/6,354
  6. Step 6: Final answer
    x = 4,601.11

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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.