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Finding the Fourth Proportional to 13,643.46, 20,465.19 and 4,409.46

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Solution

The fourth proportional to 13,643.46, 20,465.19 and 4,409.46 is: 6,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.46 : 20,465.19 = 4,409.46 : x
  2. Step 2: Convert to fraction form
    13,643.46/20,465.19 = 4,409.46/x
  3. Step 3: Cross multiply
    13,643.46x = 20,465.19 × 4,409.46
  4. Step 4: Simplify right side
    13,643.46x = 90,240,436.70
  5. Step 5: Solve for x
    x = 90,240,436.70/13,643.46
  6. Step 6: Final answer
    x = 6,614.19

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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.