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Finding the Fourth Proportional to 9,829, 13,563.88 and 5,850.01

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Solution

The fourth proportional to 9,829, 13,563.88 and 5,850.01 is: 8,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829 : 13,563.88 = 5,850.01 : x
  2. Step 2: Convert to fraction form
    9,829/13,563.88 = 5,850.01/x
  3. Step 3: Cross multiply
    9,829x = 13,563.88 × 5,850.01
  4. Step 4: Simplify right side
    9,829x = 79,348,833.64
  5. Step 5: Solve for x
    x = 79,348,833.64/9,829
  6. Step 6: Final answer
    x = 8,072.93

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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.