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Finding the Fourth Proportional to 14,285.84, 19,714.46 and 8,696.84

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Solution

The fourth proportional to 14,285.84, 19,714.46 and 8,696.84 is: 12,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.84 : 19,714.46 = 8,696.84 : x
  2. Step 2: Convert to fraction form
    14,285.84/19,714.46 = 8,696.84/x
  3. Step 3: Cross multiply
    14,285.84x = 19,714.46 × 8,696.84
  4. Step 4: Simplify right side
    14,285.84x = 171,453,504.31
  5. Step 5: Solve for x
    x = 171,453,504.31/14,285.84
  6. Step 6: Final answer
    x = 12,001.64

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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.