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Finding the Fourth Proportional to 9,693.66, 13,395.40 and 8,257.26

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Solution

The fourth proportional to 9,693.66, 13,395.40 and 8,257.26 is: 11,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.66 : 13,395.40 = 8,257.26 : x
  2. Step 2: Convert to fraction form
    9,693.66/13,395.40 = 8,257.26/x
  3. Step 3: Cross multiply
    9,693.66x = 13,395.40 × 8,257.26
  4. Step 4: Simplify right side
    9,693.66x = 110,609,300.60
  5. Step 5: Solve for x
    x = 110,609,300.60/9,693.66
  6. Step 6: Final answer
    x = 11,410.48

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Half scale
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Double scale
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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.