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Finding the Fourth Proportional to 9,893.31, 14,839.41 and 2,497.74

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Solution

The fourth proportional to 9,893.31, 14,839.41 and 2,497.74 is: 3,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.31 : 14,839.41 = 2,497.74 : x
  2. Step 2: Convert to fraction form
    9,893.31/14,839.41 = 2,497.74/x
  3. Step 3: Cross multiply
    9,893.31x = 14,839.41 × 2,497.74
  4. Step 4: Simplify right side
    9,893.31x = 37,064,987.93
  5. Step 5: Solve for x
    x = 37,064,987.93/9,893.31
  6. Step 6: Final answer
    x = 3,746.47

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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.