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Finding the Fourth Proportional to 4,555.98, 6,824.25 and 4,506.17

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Solution

The fourth proportional to 4,555.98, 6,824.25 and 4,506.17 is: 6,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.98 : 6,824.25 = 4,506.17 : x
  2. Step 2: Convert to fraction form
    4,555.98/6,824.25 = 4,506.17/x
  3. Step 3: Cross multiply
    4,555.98x = 6,824.25 × 4,506.17
  4. Step 4: Simplify right side
    4,555.98x = 30,751,196.50
  5. Step 5: Solve for x
    x = 30,751,196.50/4,555.98
  6. Step 6: Final answer
    x = 6,749.63

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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.