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Finding the Fourth Proportional to 13,696.64, 18,901.34 and 7,409.00

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Solution

The fourth proportional to 13,696.64, 18,901.34 and 7,409.00 is: 10,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.64 : 18,901.34 = 7,409.00 : x
  2. Step 2: Convert to fraction form
    13,696.64/18,901.34 = 7,409.00/x
  3. Step 3: Cross multiply
    13,696.64x = 18,901.34 × 7,409.00
  4. Step 4: Simplify right side
    13,696.64x = 140,039,952.08
  5. Step 5: Solve for x
    x = 140,039,952.08/13,696.64
  6. Step 6: Final answer
    x = 10,224.41

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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.