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Finding the Fourth Proportional to 4,708.47, 6,454.48 and 4,664.91

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Solution

The fourth proportional to 4,708.47, 6,454.48 and 4,664.91 is: 6,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.47 : 6,454.48 = 4,664.91 : x
  2. Step 2: Convert to fraction form
    4,708.47/6,454.48 = 4,664.91/x
  3. Step 3: Cross multiply
    4,708.47x = 6,454.48 × 4,664.91
  4. Step 4: Simplify right side
    4,708.47x = 30,109,556.63
  5. Step 5: Solve for x
    x = 30,109,556.63/4,708.47
  6. Step 6: Final answer
    x = 6,394.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.