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Finding the Fourth Proportional to 10,751.83, 14,839.74 and 6,276

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Solution

The fourth proportional to 10,751.83, 14,839.74 and 6,276 is: 8,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.83 : 14,839.74 = 6,276 : x
  2. Step 2: Convert to fraction form
    10,751.83/14,839.74 = 6,276/x
  3. Step 3: Cross multiply
    10,751.83x = 14,839.74 × 6,276
  4. Step 4: Simplify right side
    10,751.83x = 93,134,208.24
  5. Step 5: Solve for x
    x = 93,134,208.24/10,751.83
  6. Step 6: Final answer
    x = 8,662.17

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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.