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Finding the Fourth Proportional to 19,783.50, 27,301.23 and 10,951.50

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Solution

The fourth proportional to 19,783.50, 27,301.23 and 10,951.50 is: 15,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.50 : 27,301.23 = 10,951.50 : x
  2. Step 2: Convert to fraction form
    19,783.50/27,301.23 = 10,951.50/x
  3. Step 3: Cross multiply
    19,783.50x = 27,301.23 × 10,951.50
  4. Step 4: Simplify right side
    19,783.50x = 298,989,420.35
  5. Step 5: Solve for x
    x = 298,989,420.35/19,783.50
  6. Step 6: Final answer
    x = 15,113.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.