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Finding the Fourth Proportional to 9,665.52, 14,501.74 and 5,963.44

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Solution

The fourth proportional to 9,665.52, 14,501.74 and 5,963.44 is: 8,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.52 : 14,501.74 = 5,963.44 : x
  2. Step 2: Convert to fraction form
    9,665.52/14,501.74 = 5,963.44/x
  3. Step 3: Cross multiply
    9,665.52x = 14,501.74 × 5,963.44
  4. Step 4: Simplify right side
    9,665.52x = 86,480,256.39
  5. Step 5: Solve for x
    x = 86,480,256.39/9,665.52
  6. Step 6: Final answer
    x = 8,947.29

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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.