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Finding the Fourth Proportional to 9,807.36, 13,529.99 and 5,826.32

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Solution

The fourth proportional to 9,807.36, 13,529.99 and 5,826.32 is: 8,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.36 : 13,529.99 = 5,826.32 : x
  2. Step 2: Convert to fraction form
    9,807.36/13,529.99 = 5,826.32/x
  3. Step 3: Cross multiply
    9,807.36x = 13,529.99 × 5,826.32
  4. Step 4: Simplify right side
    9,807.36x = 78,829,954.56
  5. Step 5: Solve for x
    x = 78,829,954.56/9,807.36
  6. Step 6: Final answer
    x = 8,037.84

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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.