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Finding the Fourth Proportional to 4,466.84, 6,700.52 and 1,505.03

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Solution

The fourth proportional to 4,466.84, 6,700.52 and 1,505.03 is: 2,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.84 : 6,700.52 = 1,505.03 : x
  2. Step 2: Convert to fraction form
    4,466.84/6,700.52 = 1,505.03/x
  3. Step 3: Cross multiply
    4,466.84x = 6,700.52 × 1,505.03
  4. Step 4: Simplify right side
    4,466.84x = 10,084,476.09
  5. Step 5: Solve for x
    x = 10,084,476.09/4,466.84
  6. Step 6: Final answer
    x = 2,257.63

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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.