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Finding the Fourth Proportional to 6,334.62, 9,503.48 and 4,464.16

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Solution

The fourth proportional to 6,334.62, 9,503.48 and 4,464.16 is: 6,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.62 : 9,503.48 = 4,464.16 : x
  2. Step 2: Convert to fraction form
    6,334.62/9,503.48 = 4,464.16/x
  3. Step 3: Cross multiply
    6,334.62x = 9,503.48 × 4,464.16
  4. Step 4: Simplify right side
    6,334.62x = 42,425,078.32
  5. Step 5: Solve for x
    x = 42,425,078.32/6,334.62
  6. Step 6: Final answer
    x = 6,697.33

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1.5x scale

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.