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Finding the Fourth Proportional to 13,751.70, 18,977.65 and 7,783.37

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Solution

The fourth proportional to 13,751.70, 18,977.65 and 7,783.37 is: 10,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.70 : 18,977.65 = 7,783.37 : x
  2. Step 2: Convert to fraction form
    13,751.70/18,977.65 = 7,783.37/x
  3. Step 3: Cross multiply
    13,751.70x = 18,977.65 × 7,783.37
  4. Step 4: Simplify right side
    13,751.70x = 147,710,099.67
  5. Step 5: Solve for x
    x = 147,710,099.67/13,751.70
  6. Step 6: Final answer
    x = 10,741.22

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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.