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Finding the Fourth Proportional to 4,911.64, 6,780.16 and 2,922.38

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Solution

The fourth proportional to 4,911.64, 6,780.16 and 2,922.38 is: 4,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.64 : 6,780.16 = 2,922.38 : x
  2. Step 2: Convert to fraction form
    4,911.64/6,780.16 = 2,922.38/x
  3. Step 3: Cross multiply
    4,911.64x = 6,780.16 × 2,922.38
  4. Step 4: Simplify right side
    4,911.64x = 19,814,182.72
  5. Step 5: Solve for x
    x = 19,814,182.72/4,911.64
  6. Step 6: Final answer
    x = 4,034.13

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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.