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Finding the Fourth Proportional to 9,800.40, 14,702.36 and 3,228.40

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Solution

The fourth proportional to 9,800.40, 14,702.36 and 3,228.40 is: 4,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.40 : 14,702.36 = 3,228.40 : x
  2. Step 2: Convert to fraction form
    9,800.40/14,702.36 = 3,228.40/x
  3. Step 3: Cross multiply
    9,800.40x = 14,702.36 × 3,228.40
  4. Step 4: Simplify right side
    9,800.40x = 47,465,099.02
  5. Step 5: Solve for x
    x = 47,465,099.02/9,800.40
  6. Step 6: Final answer
    x = 4,843.18

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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.