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Finding the Fourth Proportional to 8,483.85, 11,708.42 and 4,707.80

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Solution

The fourth proportional to 8,483.85, 11,708.42 and 4,707.80 is: 6,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.85 : 11,708.42 = 4,707.80 : x
  2. Step 2: Convert to fraction form
    8,483.85/11,708.42 = 4,707.80/x
  3. Step 3: Cross multiply
    8,483.85x = 11,708.42 × 4,707.80
  4. Step 4: Simplify right side
    8,483.85x = 55,120,942.39
  5. Step 5: Solve for x
    x = 55,120,942.39/8,483.85
  6. Step 6: Final answer
    x = 6,497.16

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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.