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Finding the Fourth Proportional to 4,952.16, 6,835.50 and 2,857.68

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Solution

The fourth proportional to 4,952.16, 6,835.50 and 2,857.68 is: 3,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.16 : 6,835.50 = 2,857.68 : x
  2. Step 2: Convert to fraction form
    4,952.16/6,835.50 = 2,857.68/x
  3. Step 3: Cross multiply
    4,952.16x = 6,835.50 × 2,857.68
  4. Step 4: Simplify right side
    4,952.16x = 19,533,671.64
  5. Step 5: Solve for x
    x = 19,533,671.64/4,952.16
  6. Step 6: Final answer
    x = 3,944.48

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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.