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Finding the Fourth Proportional to 10,013.84, 13,819.47 and 6,477.05

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Solution

The fourth proportional to 10,013.84, 13,819.47 and 6,477.05 is: 8,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.84 : 13,819.47 = 6,477.05 : x
  2. Step 2: Convert to fraction form
    10,013.84/13,819.47 = 6,477.05/x
  3. Step 3: Cross multiply
    10,013.84x = 13,819.47 × 6,477.05
  4. Step 4: Simplify right side
    10,013.84x = 89,509,365.78
  5. Step 5: Solve for x
    x = 89,509,365.78/10,013.84
  6. Step 6: Final answer
    x = 8,938.57

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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.