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Finding the Fourth Proportional to 9,502.33, 14,255.81 and 6,696.63

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Solution

The fourth proportional to 9,502.33, 14,255.81 and 6,696.63 is: 10,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.33 : 14,255.81 = 6,696.63 : x
  2. Step 2: Convert to fraction form
    9,502.33/14,255.81 = 6,696.63/x
  3. Step 3: Cross multiply
    9,502.33x = 14,255.81 × 6,696.63
  4. Step 4: Simplify right side
    9,502.33x = 95,465,837.67
  5. Step 5: Solve for x
    x = 95,465,837.67/9,502.33
  6. Step 6: Final answer
    x = 10,046.58

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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.