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Finding the Fourth Proportional to 12,181.64, 16,810.48 and 6,804.15

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Solution

The fourth proportional to 12,181.64, 16,810.48 and 6,804.15 is: 9,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.64 : 16,810.48 = 6,804.15 : x
  2. Step 2: Convert to fraction form
    12,181.64/16,810.48 = 6,804.15/x
  3. Step 3: Cross multiply
    12,181.64x = 16,810.48 × 6,804.15
  4. Step 4: Simplify right side
    12,181.64x = 114,381,051.85
  5. Step 5: Solve for x
    x = 114,381,051.85/12,181.64
  6. Step 6: Final answer
    x = 9,389.63

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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.