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Finding the Fourth Proportional to 13,956.50, 19,259.07 and 7,668.47

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Solution

The fourth proportional to 13,956.50, 19,259.07 and 7,668.47 is: 10,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.50 : 19,259.07 = 7,668.47 : x
  2. Step 2: Convert to fraction form
    13,956.50/19,259.07 = 7,668.47/x
  3. Step 3: Cross multiply
    13,956.50x = 19,259.07 × 7,668.47
  4. Step 4: Simplify right side
    13,956.50x = 147,687,619.91
  5. Step 5: Solve for x
    x = 147,687,619.91/13,956.50
  6. Step 6: Final answer
    x = 10,581.99

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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.