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Finding the Fourth Proportional to 8,947.84, 13,420.68 and 4,568.44

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Solution

The fourth proportional to 8,947.84, 13,420.68 and 4,568.44 is: 6,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.84 : 13,420.68 = 4,568.44 : x
  2. Step 2: Convert to fraction form
    8,947.84/13,420.68 = 4,568.44/x
  3. Step 3: Cross multiply
    8,947.84x = 13,420.68 × 4,568.44
  4. Step 4: Simplify right side
    8,947.84x = 61,311,571.34
  5. Step 5: Solve for x
    x = 61,311,571.34/8,947.84
  6. Step 6: Final answer
    x = 6,852.11

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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.