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Finding the Fourth Proportional to 9,786.93, 14,668.09 and 7,019.00

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Solution

The fourth proportional to 9,786.93, 14,668.09 and 7,019.00 is: 10,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.93 : 14,668.09 = 7,019.00 : x
  2. Step 2: Convert to fraction form
    9,786.93/14,668.09 = 7,019.00/x
  3. Step 3: Cross multiply
    9,786.93x = 14,668.09 × 7,019.00
  4. Step 4: Simplify right side
    9,786.93x = 102,955,287.83
  5. Step 5: Solve for x
    x = 102,955,287.83/9,786.93
  6. Step 6: Final answer
    x = 10,519.68

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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.