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Finding the Fourth Proportional to 4,469.62, 6,703.52 and 1,507.72

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Solution

The fourth proportional to 4,469.62, 6,703.52 and 1,507.72 is: 2,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.62 : 6,703.52 = 1,507.72 : x
  2. Step 2: Convert to fraction form
    4,469.62/6,703.52 = 1,507.72/x
  3. Step 3: Cross multiply
    4,469.62x = 6,703.52 × 1,507.72
  4. Step 4: Simplify right side
    4,469.62x = 10,107,031.17
  5. Step 5: Solve for x
    x = 10,107,031.17/4,469.62
  6. Step 6: Final answer
    x = 2,261.27

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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.