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Finding the Fourth Proportional to 4,957.16, 6,837.30 and 4,209.94

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Solution

The fourth proportional to 4,957.16, 6,837.30 and 4,209.94 is: 5,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.16 : 6,837.30 = 4,209.94 : x
  2. Step 2: Convert to fraction form
    4,957.16/6,837.30 = 4,209.94/x
  3. Step 3: Cross multiply
    4,957.16x = 6,837.30 × 4,209.94
  4. Step 4: Simplify right side
    4,957.16x = 28,784,622.76
  5. Step 5: Solve for x
    x = 28,784,622.76/4,957.16
  6. Step 6: Final answer
    x = 5,806.68

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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.