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Finding the Fourth Proportional to 10,367, 14,316.18 and 7,231.88

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Solution

The fourth proportional to 10,367, 14,316.18 and 7,231.88 is: 9,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367 : 14,316.18 = 7,231.88 : x
  2. Step 2: Convert to fraction form
    10,367/14,316.18 = 7,231.88/x
  3. Step 3: Cross multiply
    10,367x = 14,316.18 × 7,231.88
  4. Step 4: Simplify right side
    10,367x = 103,532,895.82
  5. Step 5: Solve for x
    x = 103,532,895.82/10,367
  6. Step 6: Final answer
    x = 9,986.77

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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.