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Finding the Fourth Proportional to 9,658.58, 14,490.62 and 3,085.28

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Solution

The fourth proportional to 9,658.58, 14,490.62 and 3,085.28 is: 4,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.58 : 14,490.62 = 3,085.28 : x
  2. Step 2: Convert to fraction form
    9,658.58/14,490.62 = 3,085.28/x
  3. Step 3: Cross multiply
    9,658.58x = 14,490.62 × 3,085.28
  4. Step 4: Simplify right side
    9,658.58x = 44,707,620.07
  5. Step 5: Solve for x
    x = 44,707,620.07/9,658.58
  6. Step 6: Final answer
    x = 4,628.80

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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.