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Finding the Fourth Proportional to 10,859.34, 14,983.11 and 6,826.80

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Solution

The fourth proportional to 10,859.34, 14,983.11 and 6,826.80 is: 9,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.34 : 14,983.11 = 6,826.80 : x
  2. Step 2: Convert to fraction form
    10,859.34/14,983.11 = 6,826.80/x
  3. Step 3: Cross multiply
    10,859.34x = 14,983.11 × 6,826.80
  4. Step 4: Simplify right side
    10,859.34x = 102,286,695.35
  5. Step 5: Solve for x
    x = 102,286,695.35/10,859.34
  6. Step 6: Final answer
    x = 9,419.24

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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.