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Finding the Fourth Proportional to 9,878.94, 14,825.08 and 3,643.94

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Solution

The fourth proportional to 9,878.94, 14,825.08 and 3,643.94 is: 5,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.94 : 14,825.08 = 3,643.94 : x
  2. Step 2: Convert to fraction form
    9,878.94/14,825.08 = 3,643.94/x
  3. Step 3: Cross multiply
    9,878.94x = 14,825.08 × 3,643.94
  4. Step 4: Simplify right side
    9,878.94x = 54,021,729.97
  5. Step 5: Solve for x
    x = 54,021,729.97/9,878.94
  6. Step 6: Final answer
    x = 5,468.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.