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Finding the Fourth Proportional to 11,563.62, 15,957.62 and 6,459.21

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Solution

The fourth proportional to 11,563.62, 15,957.62 and 6,459.21 is: 8,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.62 : 15,957.62 = 6,459.21 : x
  2. Step 2: Convert to fraction form
    11,563.62/15,957.62 = 6,459.21/x
  3. Step 3: Cross multiply
    11,563.62x = 15,957.62 × 6,459.21
  4. Step 4: Simplify right side
    11,563.62x = 103,073,589.64
  5. Step 5: Solve for x
    x = 103,073,589.64/11,563.62
  6. Step 6: Final answer
    x = 8,913.61

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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.