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Finding the Fourth Proportional to 12,714.84, 19,072.25 and 4,923.65

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Solution

The fourth proportional to 12,714.84, 19,072.25 and 4,923.65 is: 7,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.84 : 19,072.25 = 4,923.65 : x
  2. Step 2: Convert to fraction form
    12,714.84/19,072.25 = 4,923.65/x
  3. Step 3: Cross multiply
    12,714.84x = 19,072.25 × 4,923.65
  4. Step 4: Simplify right side
    12,714.84x = 93,904,963.73
  5. Step 5: Solve for x
    x = 93,904,963.73/12,714.84
  6. Step 6: Final answer
    x = 7,385.46

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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.