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Finding the Fourth Proportional to 13,697.14, 18,902.05 and 7,409.51

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Solution

The fourth proportional to 13,697.14, 18,902.05 and 7,409.51 is: 10,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.14 : 18,902.05 = 7,409.51 : x
  2. Step 2: Convert to fraction form
    13,697.14/18,902.05 = 7,409.51/x
  3. Step 3: Cross multiply
    13,697.14x = 18,902.05 × 7,409.51
  4. Step 4: Simplify right side
    13,697.14x = 140,054,928.50
  5. Step 5: Solve for x
    x = 140,054,928.50/13,697.14
  6. Step 6: Final answer
    x = 10,225.12

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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.