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Finding the Fourth Proportional to 11,571.72, 15,968.88 and 6,858.24

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Solution

The fourth proportional to 11,571.72, 15,968.88 and 6,858.24 is: 9,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.72 : 15,968.88 = 6,858.24 : x
  2. Step 2: Convert to fraction form
    11,571.72/15,968.88 = 6,858.24/x
  3. Step 3: Cross multiply
    11,571.72x = 15,968.88 × 6,858.24
  4. Step 4: Simplify right side
    11,571.72x = 109,518,411.57
  5. Step 5: Solve for x
    x = 109,518,411.57/11,571.72
  6. Step 6: Final answer
    x = 9,464.32

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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.