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Finding the Fourth Proportional to 4,969.64, 7,455.70 and 1,506.90

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Solution

The fourth proportional to 4,969.64, 7,455.70 and 1,506.90 is: 2,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.64 : 7,455.70 = 1,506.90 : x
  2. Step 2: Convert to fraction form
    4,969.64/7,455.70 = 1,506.90/x
  3. Step 3: Cross multiply
    4,969.64x = 7,455.70 × 1,506.90
  4. Step 4: Simplify right side
    4,969.64x = 11,234,994.33
  5. Step 5: Solve for x
    x = 11,234,994.33/4,969.64
  6. Step 6: Final answer
    x = 2,260.73

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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.