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Finding the Fourth Proportional to 8,954.71, 13,432.06 and 3,406.77

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Solution

The fourth proportional to 8,954.71, 13,432.06 and 3,406.77 is: 5,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.71 : 13,432.06 = 3,406.77 : x
  2. Step 2: Convert to fraction form
    8,954.71/13,432.06 = 3,406.77/x
  3. Step 3: Cross multiply
    8,954.71x = 13,432.06 × 3,406.77
  4. Step 4: Simplify right side
    8,954.71x = 45,759,939.05
  5. Step 5: Solve for x
    x = 45,759,939.05/8,954.71
  6. Step 6: Final answer
    x = 5,110.15

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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.