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Finding the Fourth Proportional to 11,846.42, 16,348.06 and 6,541.23

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Solution

The fourth proportional to 11,846.42, 16,348.06 and 6,541.23 is: 9,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.42 : 16,348.06 = 6,541.23 : x
  2. Step 2: Convert to fraction form
    11,846.42/16,348.06 = 6,541.23/x
  3. Step 3: Cross multiply
    11,846.42x = 16,348.06 × 6,541.23
  4. Step 4: Simplify right side
    11,846.42x = 106,936,420.51
  5. Step 5: Solve for x
    x = 106,936,420.51/11,846.42
  6. Step 6: Final answer
    x = 9,026.90

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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.