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Finding the Fourth Proportional to 12,172.69, 16,798.31 and 6,583.69

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Solution

The fourth proportional to 12,172.69, 16,798.31 and 6,583.69 is: 9,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.69 : 16,798.31 = 6,583.69 : x
  2. Step 2: Convert to fraction form
    12,172.69/16,798.31 = 6,583.69/x
  3. Step 3: Cross multiply
    12,172.69x = 16,798.31 × 6,583.69
  4. Step 4: Simplify right side
    12,172.69x = 110,594,823.57
  5. Step 5: Solve for x
    x = 110,594,823.57/12,172.69
  6. Step 6: Final answer
    x = 9,085.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.