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Finding the Fourth Proportional to 13,876.83, 20,820.06 and 6,482.07

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Solution

The fourth proportional to 13,876.83, 20,820.06 and 6,482.07 is: 9,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.83 : 20,820.06 = 6,482.07 : x
  2. Step 2: Convert to fraction form
    13,876.83/20,820.06 = 6,482.07/x
  3. Step 3: Cross multiply
    13,876.83x = 20,820.06 × 6,482.07
  4. Step 4: Simplify right side
    13,876.83x = 134,957,086.32
  5. Step 5: Solve for x
    x = 134,957,086.32/13,876.83
  6. Step 6: Final answer
    x = 9,725.35

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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.