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Finding the Fourth Proportional to 9,298.30, 13,914.03 and 6,826.99

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Solution

The fourth proportional to 9,298.30, 13,914.03 and 6,826.99 is: 10,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.30 : 13,914.03 = 6,826.99 : x
  2. Step 2: Convert to fraction form
    9,298.30/13,914.03 = 6,826.99/x
  3. Step 3: Cross multiply
    9,298.30x = 13,914.03 × 6,826.99
  4. Step 4: Simplify right side
    9,298.30x = 94,990,943.67
  5. Step 5: Solve for x
    x = 94,990,943.67/9,298.30
  6. Step 6: Final answer
    x = 10,215.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.