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Finding the Fourth Proportional to 13,841.92, 19,102.08 and 7,554.56

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Solution

The fourth proportional to 13,841.92, 19,102.08 and 7,554.56 is: 10,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.92 : 19,102.08 = 7,554.56 : x
  2. Step 2: Convert to fraction form
    13,841.92/19,102.08 = 7,554.56/x
  3. Step 3: Cross multiply
    13,841.92x = 19,102.08 × 7,554.56
  4. Step 4: Simplify right side
    13,841.92x = 144,307,809.48
  5. Step 5: Solve for x
    x = 144,307,809.48/13,841.92
  6. Step 6: Final answer
    x = 10,425.42

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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.