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Finding the Fourth Proportional to 18,226.50, 25,152.57 and 9,843

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Solution

The fourth proportional to 18,226.50, 25,152.57 and 9,843 is: 13,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,226.50 : 25,152.57 = 9,843 : x
  2. Step 2: Convert to fraction form
    18,226.50/25,152.57 = 9,843/x
  3. Step 3: Cross multiply
    18,226.50x = 25,152.57 × 9,843
  4. Step 4: Simplify right side
    18,226.50x = 247,576,746.51
  5. Step 5: Solve for x
    x = 247,576,746.51/18,226.50
  6. Step 6: Final answer
    x = 13,583.34

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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.