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Finding the Fourth Proportional to 9,953.92, 14,930.16 and 3,028

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Solution

The fourth proportional to 9,953.92, 14,930.16 and 3,028 is: 4,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.92 : 14,930.16 = 3,028 : x
  2. Step 2: Convert to fraction form
    9,953.92/14,930.16 = 3,028/x
  3. Step 3: Cross multiply
    9,953.92x = 14,930.16 × 3,028
  4. Step 4: Simplify right side
    9,953.92x = 45,208,524.48
  5. Step 5: Solve for x
    x = 45,208,524.48/9,953.92
  6. Step 6: Final answer
    x = 4,541.78

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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.