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Finding the Fourth Proportional to 9,410.68, 12,990.91 and 6,589.15

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Solution

The fourth proportional to 9,410.68, 12,990.91 and 6,589.15 is: 9,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.68 : 12,990.91 = 6,589.15 : x
  2. Step 2: Convert to fraction form
    9,410.68/12,990.91 = 6,589.15/x
  3. Step 3: Cross multiply
    9,410.68x = 12,990.91 × 6,589.15
  4. Step 4: Simplify right side
    9,410.68x = 85,599,054.63
  5. Step 5: Solve for x
    x = 85,599,054.63/9,410.68
  6. Step 6: Final answer
    x = 9,095.95

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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.