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Finding the Fourth Proportional to 6,535.44, 9,803.04 and 1,918.44

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Solution

The fourth proportional to 6,535.44, 9,803.04 and 1,918.44 is: 2,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.44 : 9,803.04 = 1,918.44 : x
  2. Step 2: Convert to fraction form
    6,535.44/9,803.04 = 1,918.44/x
  3. Step 3: Cross multiply
    6,535.44x = 9,803.04 × 1,918.44
  4. Step 4: Simplify right side
    6,535.44x = 18,806,544.06
  5. Step 5: Solve for x
    x = 18,806,544.06/6,535.44
  6. Step 6: Final answer
    x = 2,877.62

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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.