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Finding the Fourth Proportional to 14,511, 21,766.74 and 6,303

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Solution

The fourth proportional to 14,511, 21,766.74 and 6,303 is: 9,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511 : 21,766.74 = 6,303 : x
  2. Step 2: Convert to fraction form
    14,511/21,766.74 = 6,303/x
  3. Step 3: Cross multiply
    14,511x = 21,766.74 × 6,303
  4. Step 4: Simplify right side
    14,511x = 137,195,762.22
  5. Step 5: Solve for x
    x = 137,195,762.22/14,511
  6. Step 6: Final answer
    x = 9,454.60

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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.