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Finding the Fourth Proportional to 14,097.30, 19,454.07 and 7,724.40

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Solution

The fourth proportional to 14,097.30, 19,454.07 and 7,724.40 is: 10,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.30 : 19,454.07 = 7,724.40 : x
  2. Step 2: Convert to fraction form
    14,097.30/19,454.07 = 7,724.40/x
  3. Step 3: Cross multiply
    14,097.30x = 19,454.07 × 7,724.40
  4. Step 4: Simplify right side
    14,097.30x = 150,271,018.31
  5. Step 5: Solve for x
    x = 150,271,018.31/14,097.30
  6. Step 6: Final answer
    x = 10,659.56

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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.