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Finding the Fourth Proportional to 4,384.07, 6,576.10 and 1,097.16

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Solution

The fourth proportional to 4,384.07, 6,576.10 and 1,097.16 is: 1,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.07 : 6,576.10 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    4,384.07/6,576.10 = 1,097.16/x
  3. Step 3: Cross multiply
    4,384.07x = 6,576.10 × 1,097.16
  4. Step 4: Simplify right side
    4,384.07x = 7,215,006.47
  5. Step 5: Solve for x
    x = 7,215,006.47/4,384.07
  6. Step 6: Final answer
    x = 1,645.73

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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.