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Finding the Fourth Proportional to 13,697.58, 18,902.69 and 7,409.96

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Solution

The fourth proportional to 13,697.58, 18,902.69 and 7,409.96 is: 10,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.58 : 18,902.69 = 7,409.96 : x
  2. Step 2: Convert to fraction form
    13,697.58/18,902.69 = 7,409.96/x
  3. Step 3: Cross multiply
    13,697.58x = 18,902.69 × 7,409.96
  4. Step 4: Simplify right side
    13,697.58x = 140,068,176.79
  5. Step 5: Solve for x
    x = 140,068,176.79/13,697.58
  6. Step 6: Final answer
    x = 10,225.76

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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.