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Finding the Fourth Proportional to 9,764.92, 14,640.90 and 6,300.28

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Solution

The fourth proportional to 9,764.92, 14,640.90 and 6,300.28 is: 9,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.92 : 14,640.90 = 6,300.28 : x
  2. Step 2: Convert to fraction form
    9,764.92/14,640.90 = 6,300.28/x
  3. Step 3: Cross multiply
    9,764.92x = 14,640.90 × 6,300.28
  4. Step 4: Simplify right side
    9,764.92x = 92,241,769.45
  5. Step 5: Solve for x
    x = 92,241,769.45/9,764.92
  6. Step 6: Final answer
    x = 9,446.24

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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.