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Finding the Fourth Proportional to 12,097.80, 16,975.80 and 12,097.80

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Solution

The fourth proportional to 12,097.80, 16,975.80 and 12,097.80 is: 16,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.80 : 16,975.80 = 12,097.80 : x
  2. Step 2: Convert to fraction form
    12,097.80/16,975.80 = 12,097.80/x
  3. Step 3: Cross multiply
    12,097.80x = 16,975.80 × 12,097.80
  4. Step 4: Simplify right side
    12,097.80x = 205,369,833.24
  5. Step 5: Solve for x
    x = 205,369,833.24/12,097.80
  6. Step 6: Final answer
    x = 16,975.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.