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Finding the Fourth Proportional to 13,698.57, 18,904.08 and 7,410.95

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Solution

The fourth proportional to 13,698.57, 18,904.08 and 7,410.95 is: 10,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.57 : 18,904.08 = 7,410.95 : x
  2. Step 2: Convert to fraction form
    13,698.57/18,904.08 = 7,410.95/x
  3. Step 3: Cross multiply
    13,698.57x = 18,904.08 × 7,410.95
  4. Step 4: Simplify right side
    13,698.57x = 140,097,191.68
  5. Step 5: Solve for x
    x = 140,097,191.68/13,698.57
  6. Step 6: Final answer
    x = 10,227.14

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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.