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Finding the Fourth Proportional to 15,920.44, 21,970.74 and 8,847.16

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Solution

The fourth proportional to 15,920.44, 21,970.74 and 8,847.16 is: 12,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.44 : 21,970.74 = 8,847.16 : x
  2. Step 2: Convert to fraction form
    15,920.44/21,970.74 = 8,847.16/x
  3. Step 3: Cross multiply
    15,920.44x = 21,970.74 × 8,847.16
  4. Step 4: Simplify right side
    15,920.44x = 194,378,652.10
  5. Step 5: Solve for x
    x = 194,378,652.10/15,920.44
  6. Step 6: Final answer
    x = 12,209.38

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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.