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Finding the Fourth Proportional to 6,564, 9,033.75 and 6,032.91

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Solution

The fourth proportional to 6,564, 9,033.75 and 6,032.91 is: 8,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564 : 9,033.75 = 6,032.91 : x
  2. Step 2: Convert to fraction form
    6,564/9,033.75 = 6,032.91/x
  3. Step 3: Cross multiply
    6,564x = 9,033.75 × 6,032.91
  4. Step 4: Simplify right side
    6,564x = 54,499,800.71
  5. Step 5: Solve for x
    x = 54,499,800.71/6,564
  6. Step 6: Final answer
    x = 8,302.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.