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Finding the Fourth Proportional to 8,431.40, 12,646.98 and 3,814.40

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Solution

The fourth proportional to 8,431.40, 12,646.98 and 3,814.40 is: 5,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.40 : 12,646.98 = 3,814.40 : x
  2. Step 2: Convert to fraction form
    8,431.40/12,646.98 = 3,814.40/x
  3. Step 3: Cross multiply
    8,431.40x = 12,646.98 × 3,814.40
  4. Step 4: Simplify right side
    8,431.40x = 48,240,640.51
  5. Step 5: Solve for x
    x = 48,240,640.51/8,431.40
  6. Step 6: Final answer
    x = 5,721.55

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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.