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Finding the Fourth Proportional to 12,166.70, 16,790.04 and 6,577.70

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Solution

The fourth proportional to 12,166.70, 16,790.04 and 6,577.70 is: 9,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.70 : 16,790.04 = 6,577.70 : x
  2. Step 2: Convert to fraction form
    12,166.70/16,790.04 = 6,577.70/x
  3. Step 3: Cross multiply
    12,166.70x = 16,790.04 × 6,577.70
  4. Step 4: Simplify right side
    12,166.70x = 110,439,762.16
  5. Step 5: Solve for x
    x = 110,439,762.16/12,166.70
  6. Step 6: Final answer
    x = 9,077.22

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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.