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Finding the Fourth Proportional to 4,010.64, 6,011.82 and 1,544.82

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Solution

The fourth proportional to 4,010.64, 6,011.82 and 1,544.82 is: 2,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.64 : 6,011.82 = 1,544.82 : x
  2. Step 2: Convert to fraction form
    4,010.64/6,011.82 = 1,544.82/x
  3. Step 3: Cross multiply
    4,010.64x = 6,011.82 × 1,544.82
  4. Step 4: Simplify right side
    4,010.64x = 9,287,179.77
  5. Step 5: Solve for x
    x = 9,287,179.77/4,010.64
  6. Step 6: Final answer
    x = 2,315.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.