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Finding the Fourth Proportional to 9,182, 12,665.38 and 7,323.44

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Solution

The fourth proportional to 9,182, 12,665.38 and 7,323.44 is: 10,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182 : 12,665.38 = 7,323.44 : x
  2. Step 2: Convert to fraction form
    9,182/12,665.38 = 7,323.44/x
  3. Step 3: Cross multiply
    9,182x = 12,665.38 × 7,323.44
  4. Step 4: Simplify right side
    9,182x = 92,754,150.51
  5. Step 5: Solve for x
    x = 92,754,150.51/9,182
  6. Step 6: Final answer
    x = 10,101.74

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.