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Finding the Fourth Proportional to 4,954.16, 6,831.64 and 3,461.54

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Solution

The fourth proportional to 4,954.16, 6,831.64 and 3,461.54 is: 4,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.16 : 6,831.64 = 3,461.54 : x
  2. Step 2: Convert to fraction form
    4,954.16/6,831.64 = 3,461.54/x
  3. Step 3: Cross multiply
    4,954.16x = 6,831.64 × 3,461.54
  4. Step 4: Simplify right side
    4,954.16x = 23,647,965.29
  5. Step 5: Solve for x
    x = 23,647,965.29/4,954.16
  6. Step 6: Final answer
    x = 4,773.35

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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.