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Finding the Fourth Proportional to 6,507.06, 9,760.59 and 1,576.68

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Solution

The fourth proportional to 6,507.06, 9,760.59 and 1,576.68 is: 2,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.06 : 9,760.59 = 1,576.68 : x
  2. Step 2: Convert to fraction form
    6,507.06/9,760.59 = 1,576.68/x
  3. Step 3: Cross multiply
    6,507.06x = 9,760.59 × 1,576.68
  4. Step 4: Simplify right side
    6,507.06x = 15,389,327.04
  5. Step 5: Solve for x
    x = 15,389,327.04/6,507.06
  6. Step 6: Final answer
    x = 2,365.02

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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.