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Finding the Fourth Proportional to 8,483.63, 11,707.43 and 4,946.18

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Solution

The fourth proportional to 8,483.63, 11,707.43 and 4,946.18 is: 6,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.63 : 11,707.43 = 4,946.18 : x
  2. Step 2: Convert to fraction form
    8,483.63/11,707.43 = 4,946.18/x
  3. Step 3: Cross multiply
    8,483.63x = 11,707.43 × 4,946.18
  4. Step 4: Simplify right side
    8,483.63x = 57,906,972.85
  5. Step 5: Solve for x
    x = 57,906,972.85/8,483.63
  6. Step 6: Final answer
    x = 6,825.73

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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.