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Finding the Fourth Proportional to 6,768.54, 9,341.52 and 3,784.59

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Solution

The fourth proportional to 6,768.54, 9,341.52 and 3,784.59 is: 5,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.54 : 9,341.52 = 3,784.59 : x
  2. Step 2: Convert to fraction form
    6,768.54/9,341.52 = 3,784.59/x
  3. Step 3: Cross multiply
    6,768.54x = 9,341.52 × 3,784.59
  4. Step 4: Simplify right side
    6,768.54x = 35,353,823.18
  5. Step 5: Solve for x
    x = 35,353,823.18/6,768.54
  6. Step 6: Final answer
    x = 5,223.26

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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.