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Finding the Fourth Proportional to 9,953.64, 14,930.82 and 7,324.38

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Solution

The fourth proportional to 9,953.64, 14,930.82 and 7,324.38 is: 10,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.64 : 14,930.82 = 7,324.38 : x
  2. Step 2: Convert to fraction form
    9,953.64/14,930.82 = 7,324.38/x
  3. Step 3: Cross multiply
    9,953.64x = 14,930.82 × 7,324.38
  4. Step 4: Simplify right side
    9,953.64x = 109,358,999.39
  5. Step 5: Solve for x
    x = 109,358,999.39/9,953.64
  6. Step 6: Final answer
    x = 10,986.83

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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.