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Finding the Fourth Proportional to 6,792, 9,388.65 and 5,666.38

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Solution

The fourth proportional to 6,792, 9,388.65 and 5,666.38 is: 7,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792 : 9,388.65 = 5,666.38 : x
  2. Step 2: Convert to fraction form
    6,792/9,388.65 = 5,666.38/x
  3. Step 3: Cross multiply
    6,792x = 9,388.65 × 5,666.38
  4. Step 4: Simplify right side
    6,792x = 53,199,658.59
  5. Step 5: Solve for x
    x = 53,199,658.59/6,792
  6. Step 6: Final answer
    x = 7,832.69

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1.5x scale

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.