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Finding the Fourth Proportional to 10,097.56, 13,928.11 and 7,698.70

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Solution

The fourth proportional to 10,097.56, 13,928.11 and 7,698.70 is: 10,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.56 : 13,928.11 = 7,698.70 : x
  2. Step 2: Convert to fraction form
    10,097.56/13,928.11 = 7,698.70/x
  3. Step 3: Cross multiply
    10,097.56x = 13,928.11 × 7,698.70
  4. Step 4: Simplify right side
    10,097.56x = 107,228,314.41
  5. Step 5: Solve for x
    x = 107,228,314.41/10,097.56
  6. Step 6: Final answer
    x = 10,619.23

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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.