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Finding the Fourth Proportional to 9,109, 13,663.26 and 2,534.92

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Solution

The fourth proportional to 9,109, 13,663.26 and 2,534.92 is: 3,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109 : 13,663.26 = 2,534.92 : x
  2. Step 2: Convert to fraction form
    9,109/13,663.26 = 2,534.92/x
  3. Step 3: Cross multiply
    9,109x = 13,663.26 × 2,534.92
  4. Step 4: Simplify right side
    9,109x = 34,635,271.04
  5. Step 5: Solve for x
    x = 34,635,271.04/9,109
  6. Step 6: Final answer
    x = 3,802.31

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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.