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Finding the Fourth Proportional to 13,406.58, 18,501.01 and 7,741.24

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Solution

The fourth proportional to 13,406.58, 18,501.01 and 7,741.24 is: 10,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.58 : 18,501.01 = 7,741.24 : x
  2. Step 2: Convert to fraction form
    13,406.58/18,501.01 = 7,741.24/x
  3. Step 3: Cross multiply
    13,406.58x = 18,501.01 × 7,741.24
  4. Step 4: Simplify right side
    13,406.58x = 143,220,693.05
  5. Step 5: Solve for x
    x = 143,220,693.05/13,406.58
  6. Step 6: Final answer
    x = 10,682.87

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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.