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Finding the Fourth Proportional to 4,960.66, 6,843.54 and 2,970.22

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Solution

The fourth proportional to 4,960.66, 6,843.54 and 2,970.22 is: 4,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.66 : 6,843.54 = 2,970.22 : x
  2. Step 2: Convert to fraction form
    4,960.66/6,843.54 = 2,970.22/x
  3. Step 3: Cross multiply
    4,960.66x = 6,843.54 × 2,970.22
  4. Step 4: Simplify right side
    4,960.66x = 20,326,819.38
  5. Step 5: Solve for x
    x = 20,326,819.38/4,960.66
  6. Step 6: Final answer
    x = 4,097.60

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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.