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Finding the Fourth Proportional to 10,162, 14,023.74 and 5,970.16

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Solution

The fourth proportional to 10,162, 14,023.74 and 5,970.16 is: 8,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162 : 14,023.74 = 5,970.16 : x
  2. Step 2: Convert to fraction form
    10,162/14,023.74 = 5,970.16/x
  3. Step 3: Cross multiply
    10,162x = 14,023.74 × 5,970.16
  4. Step 4: Simplify right side
    10,162x = 83,723,971.60
  5. Step 5: Solve for x
    x = 83,723,971.60/10,162
  6. Step 6: Final answer
    x = 8,238.93

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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.