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Finding the Fourth Proportional to 12,047.64, 16,623.90 and 6,741.78

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Solution

The fourth proportional to 12,047.64, 16,623.90 and 6,741.78 is: 9,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.64 : 16,623.90 = 6,741.78 : x
  2. Step 2: Convert to fraction form
    12,047.64/16,623.90 = 6,741.78/x
  3. Step 3: Cross multiply
    12,047.64x = 16,623.90 × 6,741.78
  4. Step 4: Simplify right side
    12,047.64x = 112,074,676.54
  5. Step 5: Solve for x
    x = 112,074,676.54/12,047.64
  6. Step 6: Final answer
    x = 9,302.62

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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.