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Finding the Fourth Proportional to 4,764.63, 7,146 and 1,476.93

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Solution

The fourth proportional to 4,764.63, 7,146 and 1,476.93 is: 2,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.63 : 7,146 = 1,476.93 : x
  2. Step 2: Convert to fraction form
    4,764.63/7,146 = 1,476.93/x
  3. Step 3: Cross multiply
    4,764.63x = 7,146 × 1,476.93
  4. Step 4: Simplify right side
    4,764.63x = 10,554,141.78
  5. Step 5: Solve for x
    x = 10,554,141.78/4,764.63
  6. Step 6: Final answer
    x = 2,215.10

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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.