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Finding the Fourth Proportional to 6,133.57, 8,463.74 and 3,480.47

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Solution

The fourth proportional to 6,133.57, 8,463.74 and 3,480.47 is: 4,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.57 : 8,463.74 = 3,480.47 : x
  2. Step 2: Convert to fraction form
    6,133.57/8,463.74 = 3,480.47/x
  3. Step 3: Cross multiply
    6,133.57x = 8,463.74 × 3,480.47
  4. Step 4: Simplify right side
    6,133.57x = 29,457,784.75
  5. Step 5: Solve for x
    x = 29,457,784.75/6,133.57
  6. Step 6: Final answer
    x = 4,802.71

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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.