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Finding the Fourth Proportional to 6,507.99, 9,760.42 and 1,828.20

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Solution

The fourth proportional to 6,507.99, 9,760.42 and 1,828.20 is: 2,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.99 : 9,760.42 = 1,828.20 : x
  2. Step 2: Convert to fraction form
    6,507.99/9,760.42 = 1,828.20/x
  3. Step 3: Cross multiply
    6,507.99x = 9,760.42 × 1,828.20
  4. Step 4: Simplify right side
    6,507.99x = 17,843,999.84
  5. Step 5: Solve for x
    x = 17,843,999.84/6,507.99
  6. Step 6: Final answer
    x = 2,741.86

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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.