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Finding the Fourth Proportional to 6,535.92, 9,804.54 and 2,837.10

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Solution

The fourth proportional to 6,535.92, 9,804.54 and 2,837.10 is: 4,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.92 : 9,804.54 = 2,837.10 : x
  2. Step 2: Convert to fraction form
    6,535.92/9,804.54 = 2,837.10/x
  3. Step 3: Cross multiply
    6,535.92x = 9,804.54 × 2,837.10
  4. Step 4: Simplify right side
    6,535.92x = 27,816,460.43
  5. Step 5: Solve for x
    x = 27,816,460.43/6,535.92
  6. Step 6: Final answer
    x = 4,255.94

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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.