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Finding the Fourth Proportional to 9,893.49, 14,840.27 and 2,497.95

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Solution

The fourth proportional to 9,893.49, 14,840.27 and 2,497.95 is: 3,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.49 : 14,840.27 = 2,497.95 : x
  2. Step 2: Convert to fraction form
    9,893.49/14,840.27 = 2,497.95/x
  3. Step 3: Cross multiply
    9,893.49x = 14,840.27 × 2,497.95
  4. Step 4: Simplify right side
    9,893.49x = 37,070,252.45
  5. Step 5: Solve for x
    x = 37,070,252.45/9,893.49
  6. Step 6: Final answer
    x = 3,746.93

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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.