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Finding the Fourth Proportional to 12,172.66, 16,798.32 and 6,583.66

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Solution

The fourth proportional to 12,172.66, 16,798.32 and 6,583.66 is: 9,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.66 : 16,798.32 = 6,583.66 : x
  2. Step 2: Convert to fraction form
    12,172.66/16,798.32 = 6,583.66/x
  3. Step 3: Cross multiply
    12,172.66x = 16,798.32 × 6,583.66
  4. Step 4: Simplify right side
    12,172.66x = 110,594,427.45
  5. Step 5: Solve for x
    x = 110,594,427.45/12,172.66
  6. Step 6: Final answer
    x = 9,085.48

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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.