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Finding the Fourth Proportional to 4,966.72, 6,854.43 and 3,285.22

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Solution

The fourth proportional to 4,966.72, 6,854.43 and 3,285.22 is: 4,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.72 : 6,854.43 = 3,285.22 : x
  2. Step 2: Convert to fraction form
    4,966.72/6,854.43 = 3,285.22/x
  3. Step 3: Cross multiply
    4,966.72x = 6,854.43 × 3,285.22
  4. Step 4: Simplify right side
    4,966.72x = 22,518,310.52
  5. Step 5: Solve for x
    x = 22,518,310.52/4,966.72
  6. Step 6: Final answer
    x = 4,533.84

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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.