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Finding the Fourth Proportional to 6,576.65, 9,864.86 and 1,646.28

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Solution

The fourth proportional to 6,576.65, 9,864.86 and 1,646.28 is: 2,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.65 : 9,864.86 = 1,646.28 : x
  2. Step 2: Convert to fraction form
    6,576.65/9,864.86 = 1,646.28/x
  3. Step 3: Cross multiply
    6,576.65x = 9,864.86 × 1,646.28
  4. Step 4: Simplify right side
    6,576.65x = 16,240,313.49
  5. Step 5: Solve for x
    x = 16,240,313.49/6,576.65
  6. Step 6: Final answer
    x = 2,469.39

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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.