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Finding the Fourth Proportional to 8,231.40, 12,347.10 and 3,623.40

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Solution

The fourth proportional to 8,231.40, 12,347.10 and 3,623.40 is: 5,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.40 : 12,347.10 = 3,623.40 : x
  2. Step 2: Convert to fraction form
    8,231.40/12,347.10 = 3,623.40/x
  3. Step 3: Cross multiply
    8,231.40x = 12,347.10 × 3,623.40
  4. Step 4: Simplify right side
    8,231.40x = 44,738,482.14
  5. Step 5: Solve for x
    x = 44,738,482.14/8,231.40
  6. Step 6: Final answer
    x = 5,435.10

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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.