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Finding the Fourth Proportional to 9,640.78, 13,300.47 and 6,053.63

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Solution

The fourth proportional to 9,640.78, 13,300.47 and 6,053.63 is: 8,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.78 : 13,300.47 = 6,053.63 : x
  2. Step 2: Convert to fraction form
    9,640.78/13,300.47 = 6,053.63/x
  3. Step 3: Cross multiply
    9,640.78x = 13,300.47 × 6,053.63
  4. Step 4: Simplify right side
    9,640.78x = 80,516,057.70
  5. Step 5: Solve for x
    x = 80,516,057.70/9,640.78
  6. Step 6: Final answer
    x = 8,351.61

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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.