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Finding the Fourth Proportional to 10,235.43, 14,116.41 and 7,220.41

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Solution

The fourth proportional to 10,235.43, 14,116.41 and 7,220.41 is: 9,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.43 : 14,116.41 = 7,220.41 : x
  2. Step 2: Convert to fraction form
    10,235.43/14,116.41 = 7,220.41/x
  3. Step 3: Cross multiply
    10,235.43x = 14,116.41 × 7,220.41
  4. Step 4: Simplify right side
    10,235.43x = 101,926,232.64
  5. Step 5: Solve for x
    x = 101,926,232.64/10,235.43
  6. Step 6: Final answer
    x = 9,958.18

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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.