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Finding the Fourth Proportional to 10,616.28, 14,651.28 and 6,367.50

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Solution

The fourth proportional to 10,616.28, 14,651.28 and 6,367.50 is: 8,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.28 : 14,651.28 = 6,367.50 : x
  2. Step 2: Convert to fraction form
    10,616.28/14,651.28 = 6,367.50/x
  3. Step 3: Cross multiply
    10,616.28x = 14,651.28 × 6,367.50
  4. Step 4: Simplify right side
    10,616.28x = 93,292,025.40
  5. Step 5: Solve for x
    x = 93,292,025.40/10,616.28
  6. Step 6: Final answer
    x = 8,787.64

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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.