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Finding the Fourth Proportional to 13,967.96, 20,951.93 and 9,826.50

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Solution

The fourth proportional to 13,967.96, 20,951.93 and 9,826.50 is: 14,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.96 : 20,951.93 = 9,826.50 : x
  2. Step 2: Convert to fraction form
    13,967.96/20,951.93 = 9,826.50/x
  3. Step 3: Cross multiply
    13,967.96x = 20,951.93 × 9,826.50
  4. Step 4: Simplify right side
    13,967.96x = 205,884,140.15
  5. Step 5: Solve for x
    x = 205,884,140.15/13,967.96
  6. Step 6: Final answer
    x = 14,739.74

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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.