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Finding the Fourth Proportional to 13,751.69, 18,977.42 and 7,464.06

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Solution

The fourth proportional to 13,751.69, 18,977.42 and 7,464.06 is: 10,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.69 : 18,977.42 = 7,464.06 : x
  2. Step 2: Convert to fraction form
    13,751.69/18,977.42 = 7,464.06/x
  3. Step 3: Cross multiply
    13,751.69x = 18,977.42 × 7,464.06
  4. Step 4: Simplify right side
    13,751.69x = 141,648,620.19
  5. Step 5: Solve for x
    x = 141,648,620.19/13,751.69
  6. Step 6: Final answer
    x = 10,300.46

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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.