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Finding the Fourth Proportional to 14,642.72, 20,206.90 and 7,928.32

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Solution

The fourth proportional to 14,642.72, 20,206.90 and 7,928.32 is: 10,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.72 : 20,206.90 = 7,928.32 : x
  2. Step 2: Convert to fraction form
    14,642.72/20,206.90 = 7,928.32/x
  3. Step 3: Cross multiply
    14,642.72x = 20,206.90 × 7,928.32
  4. Step 4: Simplify right side
    14,642.72x = 160,206,769.41
  5. Step 5: Solve for x
    x = 160,206,769.41/14,642.72
  6. Step 6: Final answer
    x = 10,941.05

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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.