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Finding the Fourth Proportional to 9,953.68, 14,932.68 and 3,028

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Solution

The fourth proportional to 9,953.68, 14,932.68 and 3,028 is: 4,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.68 : 14,932.68 = 3,028 : x
  2. Step 2: Convert to fraction form
    9,953.68/14,932.68 = 3,028/x
  3. Step 3: Cross multiply
    9,953.68x = 14,932.68 × 3,028
  4. Step 4: Simplify right side
    9,953.68x = 45,216,155.04
  5. Step 5: Solve for x
    x = 45,216,155.04/9,953.68
  6. Step 6: Final answer
    x = 4,542.66

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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.