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Finding the Fourth Proportional to 4,957.48, 6,825.78 and 4,209.88

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Solution

The fourth proportional to 4,957.48, 6,825.78 and 4,209.88 is: 5,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.48 : 6,825.78 = 4,209.88 : x
  2. Step 2: Convert to fraction form
    4,957.48/6,825.78 = 4,209.88/x
  3. Step 3: Cross multiply
    4,957.48x = 6,825.78 × 4,209.88
  4. Step 4: Simplify right side
    4,957.48x = 28,735,714.71
  5. Step 5: Solve for x
    x = 28,735,714.71/4,957.48
  6. Step 6: Final answer
    x = 5,796.44

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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.