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Finding the Fourth Proportional to 14,234.16, 19,641.24 and 7,946.40

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Solution

The fourth proportional to 14,234.16, 19,641.24 and 7,946.40 is: 10,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.16 : 19,641.24 = 7,946.40 : x
  2. Step 2: Convert to fraction form
    14,234.16/19,641.24 = 7,946.40/x
  3. Step 3: Cross multiply
    14,234.16x = 19,641.24 × 7,946.40
  4. Step 4: Simplify right side
    14,234.16x = 156,077,149.54
  5. Step 5: Solve for x
    x = 156,077,149.54/14,234.16
  6. Step 6: Final answer
    x = 10,964.97

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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.