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Finding the Fourth Proportional to 9,305, 12,841.14 and 5,113.26

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Solution

The fourth proportional to 9,305, 12,841.14 and 5,113.26 is: 7,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305 : 12,841.14 = 5,113.26 : x
  2. Step 2: Convert to fraction form
    9,305/12,841.14 = 5,113.26/x
  3. Step 3: Cross multiply
    9,305x = 12,841.14 × 5,113.26
  4. Step 4: Simplify right side
    9,305x = 65,660,087.52
  5. Step 5: Solve for x
    x = 65,660,087.52/9,305
  6. Step 6: Final answer
    x = 7,056.43

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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.