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Finding the Fourth Proportional to 4,817, 7,225.50 and 1,169

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Solution

The fourth proportional to 4,817, 7,225.50 and 1,169 is: 1,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817 : 7,225.50 = 1,169 : x
  2. Step 2: Convert to fraction form
    4,817/7,225.50 = 1,169/x
  3. Step 3: Cross multiply
    4,817x = 7,225.50 × 1,169
  4. Step 4: Simplify right side
    4,817x = 8,446,609.50
  5. Step 5: Solve for x
    x = 8,446,609.50/4,817
  6. Step 6: Final answer
    x = 1,753.50

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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.