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Finding the Fourth Proportional to 12,785.94, 17,643.16 and 7,119.38

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Solution

The fourth proportional to 12,785.94, 17,643.16 and 7,119.38 is: 9,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.94 : 17,643.16 = 7,119.38 : x
  2. Step 2: Convert to fraction form
    12,785.94/17,643.16 = 7,119.38/x
  3. Step 3: Cross multiply
    12,785.94x = 17,643.16 × 7,119.38
  4. Step 4: Simplify right side
    12,785.94x = 125,608,360.44
  5. Step 5: Solve for x
    x = 125,608,360.44/12,785.94
  6. Step 6: Final answer
    x = 9,823.94

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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.