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Finding the Fourth Proportional to 10,640.94, 15,954.01 and 4,714.61

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Solution

The fourth proportional to 10,640.94, 15,954.01 and 4,714.61 is: 7,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.94 : 15,954.01 = 4,714.61 : x
  2. Step 2: Convert to fraction form
    10,640.94/15,954.01 = 4,714.61/x
  3. Step 3: Cross multiply
    10,640.94x = 15,954.01 × 4,714.61
  4. Step 4: Simplify right side
    10,640.94x = 75,216,911.51
  5. Step 5: Solve for x
    x = 75,216,911.51/10,640.94
  6. Step 6: Final answer
    x = 7,068.63

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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.