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Finding the Fourth Proportional to 4,844.64, 7,266.27 and 1,557.31

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Solution

The fourth proportional to 4,844.64, 7,266.27 and 1,557.31 is: 2,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.64 : 7,266.27 = 1,557.31 : x
  2. Step 2: Convert to fraction form
    4,844.64/7,266.27 = 1,557.31/x
  3. Step 3: Cross multiply
    4,844.64x = 7,266.27 × 1,557.31
  4. Step 4: Simplify right side
    4,844.64x = 11,315,816.77
  5. Step 5: Solve for x
    x = 11,315,816.77/4,844.64
  6. Step 6: Final answer
    x = 2,335.74

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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.