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Finding the Fourth Proportional to 4,468.50, 6,703.07 and 1,506.78

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Solution

The fourth proportional to 4,468.50, 6,703.07 and 1,506.78 is: 2,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.50 : 6,703.07 = 1,506.78 : x
  2. Step 2: Convert to fraction form
    4,468.50/6,703.07 = 1,506.78/x
  3. Step 3: Cross multiply
    4,468.50x = 6,703.07 × 1,506.78
  4. Step 4: Simplify right side
    4,468.50x = 10,100,044.28
  5. Step 5: Solve for x
    x = 10,100,044.28/4,468.50
  6. Step 6: Final answer
    x = 2,260.28

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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.