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Finding the Fourth Proportional to 15,197.63, 20,972.32 and 8,483.06

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Solution

The fourth proportional to 15,197.63, 20,972.32 and 8,483.06 is: 11,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.63 : 20,972.32 = 8,483.06 : x
  2. Step 2: Convert to fraction form
    15,197.63/20,972.32 = 8,483.06/x
  3. Step 3: Cross multiply
    15,197.63x = 20,972.32 × 8,483.06
  4. Step 4: Simplify right side
    15,197.63x = 177,909,480.12
  5. Step 5: Solve for x
    x = 177,909,480.12/15,197.63
  6. Step 6: Final answer
    x = 11,706.40

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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.