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Finding the Fourth Proportional to 9,803.70, 14,702.42 and 3,228.36

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Solution

The fourth proportional to 9,803.70, 14,702.42 and 3,228.36 is: 4,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.70 : 14,702.42 = 3,228.36 : x
  2. Step 2: Convert to fraction form
    9,803.70/14,702.42 = 3,228.36/x
  3. Step 3: Cross multiply
    9,803.70x = 14,702.42 × 3,228.36
  4. Step 4: Simplify right side
    9,803.70x = 47,464,704.63
  5. Step 5: Solve for x
    x = 47,464,704.63/9,803.70
  6. Step 6: Final answer
    x = 4,841.51

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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.