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Finding the Fourth Proportional to 9,211.64, 12,712.06 and 5,019.88

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Solution

The fourth proportional to 9,211.64, 12,712.06 and 5,019.88 is: 6,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.64 : 12,712.06 = 5,019.88 : x
  2. Step 2: Convert to fraction form
    9,211.64/12,712.06 = 5,019.88/x
  3. Step 3: Cross multiply
    9,211.64x = 12,712.06 × 5,019.88
  4. Step 4: Simplify right side
    9,211.64x = 63,813,015.75
  5. Step 5: Solve for x
    x = 63,813,015.75/9,211.64
  6. Step 6: Final answer
    x = 6,927.43

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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.