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Finding the Fourth Proportional to 12,174.65, 16,803.08 and 7,069.38

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Solution

The fourth proportional to 12,174.65, 16,803.08 and 7,069.38 is: 9,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.65 : 16,803.08 = 7,069.38 : x
  2. Step 2: Convert to fraction form
    12,174.65/16,803.08 = 7,069.38/x
  3. Step 3: Cross multiply
    12,174.65x = 16,803.08 × 7,069.38
  4. Step 4: Simplify right side
    12,174.65x = 118,787,357.69
  5. Step 5: Solve for x
    x = 118,787,357.69/12,174.65
  6. Step 6: Final answer
    x = 9,756.94

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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.