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Finding the Fourth Proportional to 4,967.66, 7,451.50 and 1,269.76

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Solution

The fourth proportional to 4,967.66, 7,451.50 and 1,269.76 is: 1,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.66 : 7,451.50 = 1,269.76 : x
  2. Step 2: Convert to fraction form
    4,967.66/7,451.50 = 1,269.76/x
  3. Step 3: Cross multiply
    4,967.66x = 7,451.50 × 1,269.76
  4. Step 4: Simplify right side
    4,967.66x = 9,461,616.64
  5. Step 5: Solve for x
    x = 9,461,616.64/4,967.66
  6. Step 6: Final answer
    x = 1,904.64

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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.