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Finding the Fourth Proportional to 13,409.50, 18,505.11 and 7,442.14

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Solution

The fourth proportional to 13,409.50, 18,505.11 and 7,442.14 is: 10,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.50 : 18,505.11 = 7,442.14 : x
  2. Step 2: Convert to fraction form
    13,409.50/18,505.11 = 7,442.14/x
  3. Step 3: Cross multiply
    13,409.50x = 18,505.11 × 7,442.14
  4. Step 4: Simplify right side
    13,409.50x = 137,717,619.34
  5. Step 5: Solve for x
    x = 137,717,619.34/13,409.50
  6. Step 6: Final answer
    x = 10,270.15

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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.