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Finding the Fourth Proportional to 9,190, 12,682.25 and 4,998.25

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Solution

The fourth proportional to 9,190, 12,682.25 and 4,998.25 is: 6,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190 : 12,682.25 = 4,998.25 : x
  2. Step 2: Convert to fraction form
    9,190/12,682.25 = 4,998.25/x
  3. Step 3: Cross multiply
    9,190x = 12,682.25 × 4,998.25
  4. Step 4: Simplify right side
    9,190x = 63,389,056.06
  5. Step 5: Solve for x
    x = 63,389,056.06/9,190
  6. Step 6: Final answer
    x = 6,897.61

Related Problems

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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.