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Finding the Fourth Proportional to 7,902.83, 11,853.27 and 4,941.54

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Solution

The fourth proportional to 7,902.83, 11,853.27 and 4,941.54 is: 7,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.83 : 11,853.27 = 4,941.54 : x
  2. Step 2: Convert to fraction form
    7,902.83/11,853.27 = 4,941.54/x
  3. Step 3: Cross multiply
    7,902.83x = 11,853.27 × 4,941.54
  4. Step 4: Simplify right side
    7,902.83x = 58,573,407.84
  5. Step 5: Solve for x
    x = 58,573,407.84/7,902.83
  6. Step 6: Final answer
    x = 7,411.70

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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.