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Finding the Fourth Proportional to 14,723.64, 22,085.64 and 8,162.64

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Solution

The fourth proportional to 14,723.64, 22,085.64 and 8,162.64 is: 12,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,723.64 : 22,085.64 = 8,162.64 : x
  2. Step 2: Convert to fraction form
    14,723.64/22,085.64 = 8,162.64/x
  3. Step 3: Cross multiply
    14,723.64x = 22,085.64 × 8,162.64
  4. Step 4: Simplify right side
    14,723.64x = 180,277,128.49
  5. Step 5: Solve for x
    x = 180,277,128.49/14,723.64
  6. Step 6: Final answer
    x = 12,244.06

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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.