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Finding the Fourth Proportional to 5,714.32, 8,571.66 and 1,966.06

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Solution

The fourth proportional to 5,714.32, 8,571.66 and 1,966.06 is: 2,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.32 : 8,571.66 = 1,966.06 : x
  2. Step 2: Convert to fraction form
    5,714.32/8,571.66 = 1,966.06/x
  3. Step 3: Cross multiply
    5,714.32x = 8,571.66 × 1,966.06
  4. Step 4: Simplify right side
    5,714.32x = 16,852,355.00
  5. Step 5: Solve for x
    x = 16,852,355.00/5,714.32
  6. Step 6: Final answer
    x = 2,949.15

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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.