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Finding the Fourth Proportional to 4,696.74, 7,046.10 and 1,774.98

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Solution

The fourth proportional to 4,696.74, 7,046.10 and 1,774.98 is: 2,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.74 : 7,046.10 = 1,774.98 : x
  2. Step 2: Convert to fraction form
    4,696.74/7,046.10 = 1,774.98/x
  3. Step 3: Cross multiply
    4,696.74x = 7,046.10 × 1,774.98
  4. Step 4: Simplify right side
    4,696.74x = 12,506,686.58
  5. Step 5: Solve for x
    x = 12,506,686.58/4,696.74
  6. Step 6: Final answer
    x = 2,662.84

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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.