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Finding the Fourth Proportional to 6,513.92, 9,748.80 and 4,428.80

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Solution

The fourth proportional to 6,513.92, 9,748.80 and 4,428.80 is: 6,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.92 : 9,748.80 = 4,428.80 : x
  2. Step 2: Convert to fraction form
    6,513.92/9,748.80 = 4,428.80/x
  3. Step 3: Cross multiply
    6,513.92x = 9,748.80 × 4,428.80
  4. Step 4: Simplify right side
    6,513.92x = 43,175,485.44
  5. Step 5: Solve for x
    x = 43,175,485.44/6,513.92
  6. Step 6: Final answer
    x = 6,628.19

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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.