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Finding the Fourth Proportional to 4,951.96, 7,426.02 and 1,831.48

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Solution

The fourth proportional to 4,951.96, 7,426.02 and 1,831.48 is: 2,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.96 : 7,426.02 = 1,831.48 : x
  2. Step 2: Convert to fraction form
    4,951.96/7,426.02 = 1,831.48/x
  3. Step 3: Cross multiply
    4,951.96x = 7,426.02 × 1,831.48
  4. Step 4: Simplify right side
    4,951.96x = 13,600,607.11
  5. Step 5: Solve for x
    x = 13,600,607.11/4,951.96
  6. Step 6: Final answer
    x = 2,746.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.