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Finding the Fourth Proportional to 9,802.68, 14,705.84 and 3,230.74

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Solution

The fourth proportional to 9,802.68, 14,705.84 and 3,230.74 is: 4,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.68 : 14,705.84 = 3,230.74 : x
  2. Step 2: Convert to fraction form
    9,802.68/14,705.84 = 3,230.74/x
  3. Step 3: Cross multiply
    9,802.68x = 14,705.84 × 3,230.74
  4. Step 4: Simplify right side
    9,802.68x = 47,510,745.52
  5. Step 5: Solve for x
    x = 47,510,745.52/9,802.68
  6. Step 6: Final answer
    x = 4,846.71

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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.