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Finding the Fourth Proportional to 14,225.71, 21,328.03 and 6,823.12

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Solution

The fourth proportional to 14,225.71, 21,328.03 and 6,823.12 is: 10,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225.71 : 21,328.03 = 6,823.12 : x
  2. Step 2: Convert to fraction form
    14,225.71/21,328.03 = 6,823.12/x
  3. Step 3: Cross multiply
    14,225.71x = 21,328.03 × 6,823.12
  4. Step 4: Simplify right side
    14,225.71x = 145,523,708.05
  5. Step 5: Solve for x
    x = 145,523,708.05/14,225.71
  6. Step 6: Final answer
    x = 10,229.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.