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Finding the Fourth Proportional to 11,694.48, 17,509.80 and 9,740.40

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Solution

The fourth proportional to 11,694.48, 17,509.80 and 9,740.40 is: 14,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.48 : 17,509.80 = 9,740.40 : x
  2. Step 2: Convert to fraction form
    11,694.48/17,509.80 = 9,740.40/x
  3. Step 3: Cross multiply
    11,694.48x = 17,509.80 × 9,740.40
  4. Step 4: Simplify right side
    11,694.48x = 170,552,455.92
  5. Step 5: Solve for x
    x = 170,552,455.92/11,694.48
  6. Step 6: Final answer
    x = 14,584.01

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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.