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Finding the Fourth Proportional to 4,496.50, 6,745.51 and 1,534.63

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Solution

The fourth proportional to 4,496.50, 6,745.51 and 1,534.63 is: 2,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.50 : 6,745.51 = 1,534.63 : x
  2. Step 2: Convert to fraction form
    4,496.50/6,745.51 = 1,534.63/x
  3. Step 3: Cross multiply
    4,496.50x = 6,745.51 × 1,534.63
  4. Step 4: Simplify right side
    4,496.50x = 10,351,862.01
  5. Step 5: Solve for x
    x = 10,351,862.01/4,496.50
  6. Step 6: Final answer
    x = 2,302.20

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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.