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Finding the Fourth Proportional to 9,203.40, 13,805.10 and 6,265.80

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Solution

The fourth proportional to 9,203.40, 13,805.10 and 6,265.80 is: 9,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.40 : 13,805.10 = 6,265.80 : x
  2. Step 2: Convert to fraction form
    9,203.40/13,805.10 = 6,265.80/x
  3. Step 3: Cross multiply
    9,203.40x = 13,805.10 × 6,265.80
  4. Step 4: Simplify right side
    9,203.40x = 86,499,995.58
  5. Step 5: Solve for x
    x = 86,499,995.58/9,203.40
  6. Step 6: Final answer
    x = 9,398.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.