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Finding the Fourth Proportional to 22,210.71, 33,325.29 and 9,724.30

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Solution

The fourth proportional to 22,210.71, 33,325.29 and 9,724.30 is: 14,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,210.71 : 33,325.29 = 9,724.30 : x
  2. Step 2: Convert to fraction form
    22,210.71/33,325.29 = 9,724.30/x
  3. Step 3: Cross multiply
    22,210.71x = 33,325.29 × 9,724.30
  4. Step 4: Simplify right side
    22,210.71x = 324,065,117.55
  5. Step 5: Solve for x
    x = 324,065,117.55/22,210.71
  6. Step 6: Final answer
    x = 14,590.49

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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.