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Finding the Fourth Proportional to 4,937.60, 6,814.86 and 2,947.16

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Solution

The fourth proportional to 4,937.60, 6,814.86 and 2,947.16 is: 4,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.60 : 6,814.86 = 2,947.16 : x
  2. Step 2: Convert to fraction form
    4,937.60/6,814.86 = 2,947.16/x
  3. Step 3: Cross multiply
    4,937.60x = 6,814.86 × 2,947.16
  4. Step 4: Simplify right side
    4,937.60x = 20,084,482.80
  5. Step 5: Solve for x
    x = 20,084,482.80/4,937.60
  6. Step 6: Final answer
    x = 4,067.66

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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.