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Finding the Fourth Proportional to 9,784.75, 13,497.99 and 6,193.65

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Solution

The fourth proportional to 9,784.75, 13,497.99 and 6,193.65 is: 8,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.75 : 13,497.99 = 6,193.65 : x
  2. Step 2: Convert to fraction form
    9,784.75/13,497.99 = 6,193.65/x
  3. Step 3: Cross multiply
    9,784.75x = 13,497.99 × 6,193.65
  4. Step 4: Simplify right side
    9,784.75x = 83,601,825.76
  5. Step 5: Solve for x
    x = 83,601,825.76/9,784.75
  6. Step 6: Final answer
    x = 8,544.09

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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.