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Finding the Fourth Proportional to 9,875.76, 13,629.24 and 5,896.32

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Solution

The fourth proportional to 9,875.76, 13,629.24 and 5,896.32 is: 8,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.76 : 13,629.24 = 5,896.32 : x
  2. Step 2: Convert to fraction form
    9,875.76/13,629.24 = 5,896.32/x
  3. Step 3: Cross multiply
    9,875.76x = 13,629.24 × 5,896.32
  4. Step 4: Simplify right side
    9,875.76x = 80,362,360.40
  5. Step 5: Solve for x
    x = 80,362,360.40/9,875.76
  6. Step 6: Final answer
    x = 8,137.33

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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.