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Finding the Fourth Proportional to 8,174.40, 12,263.20 and 3,494.40

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Solution

The fourth proportional to 8,174.40, 12,263.20 and 3,494.40 is: 5,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.40 : 12,263.20 = 3,494.40 : x
  2. Step 2: Convert to fraction form
    8,174.40/12,263.20 = 3,494.40/x
  3. Step 3: Cross multiply
    8,174.40x = 12,263.20 × 3,494.40
  4. Step 4: Simplify right side
    8,174.40x = 42,852,526.08
  5. Step 5: Solve for x
    x = 42,852,526.08/8,174.40
  6. Step 6: Final answer
    x = 5,242.28

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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.