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Finding the Fourth Proportional to 10,267.84, 15,392.85 and 6,363.64

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Solution

The fourth proportional to 10,267.84, 15,392.85 and 6,363.64 is: 9,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.84 : 15,392.85 = 6,363.64 : x
  2. Step 2: Convert to fraction form
    10,267.84/15,392.85 = 6,363.64/x
  3. Step 3: Cross multiply
    10,267.84x = 15,392.85 × 6,363.64
  4. Step 4: Simplify right side
    10,267.84x = 97,954,555.97
  5. Step 5: Solve for x
    x = 97,954,555.97/10,267.84
  6. Step 6: Final answer
    x = 9,539.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.