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Finding the Fourth Proportional to 10,083.54, 13,915.56 and 5,834.19

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Solution

The fourth proportional to 10,083.54, 13,915.56 and 5,834.19 is: 8,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.54 : 13,915.56 = 5,834.19 : x
  2. Step 2: Convert to fraction form
    10,083.54/13,915.56 = 5,834.19/x
  3. Step 3: Cross multiply
    10,083.54x = 13,915.56 × 5,834.19
  4. Step 4: Simplify right side
    10,083.54x = 81,186,021.00
  5. Step 5: Solve for x
    x = 81,186,021.00/10,083.54
  6. Step 6: Final answer
    x = 8,051.34

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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.