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Finding the Fourth Proportional to 7,051.74, 10,584.90 and 4,456.50

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Solution

The fourth proportional to 7,051.74, 10,584.90 and 4,456.50 is: 6,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.74 : 10,584.90 = 4,456.50 : x
  2. Step 2: Convert to fraction form
    7,051.74/10,584.90 = 4,456.50/x
  3. Step 3: Cross multiply
    7,051.74x = 10,584.90 × 4,456.50
  4. Step 4: Simplify right side
    7,051.74x = 47,171,606.85
  5. Step 5: Solve for x
    x = 47,171,606.85/7,051.74
  6. Step 6: Final answer
    x = 6,689.36

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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.