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Finding the Fourth Proportional to 9,843.19, 13,583.60 and 5,652.25

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Solution

The fourth proportional to 9,843.19, 13,583.60 and 5,652.25 is: 7,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.19 : 13,583.60 = 5,652.25 : x
  2. Step 2: Convert to fraction form
    9,843.19/13,583.60 = 5,652.25/x
  3. Step 3: Cross multiply
    9,843.19x = 13,583.60 × 5,652.25
  4. Step 4: Simplify right side
    9,843.19x = 76,777,862.08
  5. Step 5: Solve for x
    x = 76,777,862.08/9,843.19
  6. Step 6: Final answer
    x = 7,800.10

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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.