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Finding the Fourth Proportional to 9,763.44, 14,640.96 and 3,098.40

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Solution

The fourth proportional to 9,763.44, 14,640.96 and 3,098.40 is: 4,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.44 : 14,640.96 = 3,098.40 : x
  2. Step 2: Convert to fraction form
    9,763.44/14,640.96 = 3,098.40/x
  3. Step 3: Cross multiply
    9,763.44x = 14,640.96 × 3,098.40
  4. Step 4: Simplify right side
    9,763.44x = 45,363,550.46
  5. Step 5: Solve for x
    x = 45,363,550.46/9,763.44
  6. Step 6: Final answer
    x = 4,646.27

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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.