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Finding the Fourth Proportional to 10,374.91, 14,313.14 and 7,232.92

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Solution

The fourth proportional to 10,374.91, 14,313.14 and 7,232.92 is: 9,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.91 : 14,313.14 = 7,232.92 : x
  2. Step 2: Convert to fraction form
    10,374.91/14,313.14 = 7,232.92/x
  3. Step 3: Cross multiply
    10,374.91x = 14,313.14 × 7,232.92
  4. Step 4: Simplify right side
    10,374.91x = 103,525,778.87
  5. Step 5: Solve for x
    x = 103,525,778.87/10,374.91
  6. Step 6: Final answer
    x = 9,978.48

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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.