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Finding the Fourth Proportional to 9,892.44, 14,838.63 and 2,497.49

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Solution

The fourth proportional to 9,892.44, 14,838.63 and 2,497.49 is: 3,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.44 : 14,838.63 = 2,497.49 : x
  2. Step 2: Convert to fraction form
    9,892.44/14,838.63 = 2,497.49/x
  3. Step 3: Cross multiply
    9,892.44x = 14,838.63 × 2,497.49
  4. Step 4: Simplify right side
    9,892.44x = 37,059,330.04
  5. Step 5: Solve for x
    x = 37,059,330.04/9,892.44
  6. Step 6: Final answer
    x = 3,746.23

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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.