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Finding the Fourth Proportional to 11,846.32, 16,347.08 and 6,541.02

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Solution

The fourth proportional to 11,846.32, 16,347.08 and 6,541.02 is: 9,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.32 : 16,347.08 = 6,541.02 : x
  2. Step 2: Convert to fraction form
    11,846.32/16,347.08 = 6,541.02/x
  3. Step 3: Cross multiply
    11,846.32x = 16,347.08 × 6,541.02
  4. Step 4: Simplify right side
    11,846.32x = 106,926,593.57
  5. Step 5: Solve for x
    x = 106,926,593.57/11,846.32
  6. Step 6: Final answer
    x = 9,026.15

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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.