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Finding the Fourth Proportional to 9,461.88, 13,042.80 and 6,103.80

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Solution

The fourth proportional to 9,461.88, 13,042.80 and 6,103.80 is: 8,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.88 : 13,042.80 = 6,103.80 : x
  2. Step 2: Convert to fraction form
    9,461.88/13,042.80 = 6,103.80/x
  3. Step 3: Cross multiply
    9,461.88x = 13,042.80 × 6,103.80
  4. Step 4: Simplify right side
    9,461.88x = 79,610,642.64
  5. Step 5: Solve for x
    x = 79,610,642.64/9,461.88
  6. Step 6: Final answer
    x = 8,413.83

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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.