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Finding the Fourth Proportional to 10,846.36, 14,968.02 and 6,863.32

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Solution

The fourth proportional to 10,846.36, 14,968.02 and 6,863.32 is: 9,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.36 : 14,968.02 = 6,863.32 : x
  2. Step 2: Convert to fraction form
    10,846.36/14,968.02 = 6,863.32/x
  3. Step 3: Cross multiply
    10,846.36x = 14,968.02 × 6,863.32
  4. Step 4: Simplify right side
    10,846.36x = 102,730,311.03
  5. Step 5: Solve for x
    x = 102,730,311.03/10,846.36
  6. Step 6: Final answer
    x = 9,471.41

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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.