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Finding the Fourth Proportional to 4,966.02, 7,450.11 and 1,503.54

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Solution

The fourth proportional to 4,966.02, 7,450.11 and 1,503.54 is: 2,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.02 : 7,450.11 = 1,503.54 : x
  2. Step 2: Convert to fraction form
    4,966.02/7,450.11 = 1,503.54/x
  3. Step 3: Cross multiply
    4,966.02x = 7,450.11 × 1,503.54
  4. Step 4: Simplify right side
    4,966.02x = 11,201,538.39
  5. Step 5: Solve for x
    x = 11,201,538.39/4,966.02
  6. Step 6: Final answer
    x = 2,255.64

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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.