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Finding the Fourth Proportional to 9,970.73, 14,951.22 and 5,695.94

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Solution

The fourth proportional to 9,970.73, 14,951.22 and 5,695.94 is: 8,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.73 : 14,951.22 = 5,695.94 : x
  2. Step 2: Convert to fraction form
    9,970.73/14,951.22 = 5,695.94/x
  3. Step 3: Cross multiply
    9,970.73x = 14,951.22 × 5,695.94
  4. Step 4: Simplify right side
    9,970.73x = 85,161,252.05
  5. Step 5: Solve for x
    x = 85,161,252.05/9,970.73
  6. Step 6: Final answer
    x = 8,541.13

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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.