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Finding the Fourth Proportional to 10,211.87, 14,071.93 and 7,374.24

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Solution

The fourth proportional to 10,211.87, 14,071.93 and 7,374.24 is: 10,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.87 : 14,071.93 = 7,374.24 : x
  2. Step 2: Convert to fraction form
    10,211.87/14,071.93 = 7,374.24/x
  3. Step 3: Cross multiply
    10,211.87x = 14,071.93 × 7,374.24
  4. Step 4: Simplify right side
    10,211.87x = 103,769,770.65
  5. Step 5: Solve for x
    x = 103,769,770.65/10,211.87
  6. Step 6: Final answer
    x = 10,161.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.