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Finding the Fourth Proportional to 8,160.99, 12,186 and 7,698.98

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Solution

The fourth proportional to 8,160.99, 12,186 and 7,698.98 is: 11,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.99 : 12,186 = 7,698.98 : x
  2. Step 2: Convert to fraction form
    8,160.99/12,186 = 7,698.98/x
  3. Step 3: Cross multiply
    8,160.99x = 12,186 × 7,698.98
  4. Step 4: Simplify right side
    8,160.99x = 93,819,709.35
  5. Step 5: Solve for x
    x = 93,819,709.35/8,160.99
  6. Step 6: Final answer
    x = 11,496.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.