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Finding the Fourth Proportional to 9,674.88, 14,498.88 and 5,048.64

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Solution

The fourth proportional to 9,674.88, 14,498.88 and 5,048.64 is: 7,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.88 : 14,498.88 = 5,048.64 : x
  2. Step 2: Convert to fraction form
    9,674.88/14,498.88 = 5,048.64/x
  3. Step 3: Cross multiply
    9,674.88x = 14,498.88 × 5,048.64
  4. Step 4: Simplify right side
    9,674.88x = 73,199,625.52
  5. Step 5: Solve for x
    x = 73,199,625.52/9,674.88
  6. Step 6: Final answer
    x = 7,565.95

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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.