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Finding the Fourth Proportional to 10,930.89, 15,084.60 and 5,962.89

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Solution

The fourth proportional to 10,930.89, 15,084.60 and 5,962.89 is: 8,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.89 : 15,084.60 = 5,962.89 : x
  2. Step 2: Convert to fraction form
    10,930.89/15,084.60 = 5,962.89/x
  3. Step 3: Cross multiply
    10,930.89x = 15,084.60 × 5,962.89
  4. Step 4: Simplify right side
    10,930.89x = 89,947,810.49
  5. Step 5: Solve for x
    x = 89,947,810.49/10,930.89
  6. Step 6: Final answer
    x = 8,228.77

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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.