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Finding the Fourth Proportional to 9,161, 12,642.46 and 5,182.03

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Solution

The fourth proportional to 9,161, 12,642.46 and 5,182.03 is: 7,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161 : 12,642.46 = 5,182.03 : x
  2. Step 2: Convert to fraction form
    9,161/12,642.46 = 5,182.03/x
  3. Step 3: Cross multiply
    9,161x = 12,642.46 × 5,182.03
  4. Step 4: Simplify right side
    9,161x = 65,513,606.99
  5. Step 5: Solve for x
    x = 65,513,606.99/9,161
  6. Step 6: Final answer
    x = 7,151.36

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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.