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Finding the Fourth Proportional to 9,470.72, 14,208.11 and 2,896.69

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Solution

The fourth proportional to 9,470.72, 14,208.11 and 2,896.69 is: 4,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.72 : 14,208.11 = 2,896.69 : x
  2. Step 2: Convert to fraction form
    9,470.72/14,208.11 = 2,896.69/x
  3. Step 3: Cross multiply
    9,470.72x = 14,208.11 × 2,896.69
  4. Step 4: Simplify right side
    9,470.72x = 41,156,490.16
  5. Step 5: Solve for x
    x = 41,156,490.16/9,470.72
  6. Step 6: Final answer
    x = 4,345.66

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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.