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Finding the Fourth Proportional to 6,534.65, 9,800.01 and 1,855.05

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Solution

The fourth proportional to 6,534.65, 9,800.01 and 1,855.05 is: 2,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.65 : 9,800.01 = 1,855.05 : x
  2. Step 2: Convert to fraction form
    6,534.65/9,800.01 = 1,855.05/x
  3. Step 3: Cross multiply
    6,534.65x = 9,800.01 × 1,855.05
  4. Step 4: Simplify right side
    6,534.65x = 18,179,532.14
  5. Step 5: Solve for x
    x = 18,179,532.14/6,534.65
  6. Step 6: Final answer
    x = 2,782.02

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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.