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Finding the Fourth Proportional to 6,598.93, 9,874.82 and 5,731.65

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Solution

The fourth proportional to 6,598.93, 9,874.82 and 5,731.65 is: 8,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.93 : 9,874.82 = 5,731.65 : x
  2. Step 2: Convert to fraction form
    6,598.93/9,874.82 = 5,731.65/x
  3. Step 3: Cross multiply
    6,598.93x = 9,874.82 × 5,731.65
  4. Step 4: Simplify right side
    6,598.93x = 56,598,984.29
  5. Step 5: Solve for x
    x = 56,598,984.29/6,598.93
  6. Step 6: Final answer
    x = 8,576.99

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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.