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Finding the Fourth Proportional to 26,155, 39,241.14 and 10,564.12

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Solution

The fourth proportional to 26,155, 39,241.14 and 10,564.12 is: 15,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,155 : 39,241.14 = 10,564.12 : x
  2. Step 2: Convert to fraction form
    26,155/39,241.14 = 10,564.12/x
  3. Step 3: Cross multiply
    26,155x = 39,241.14 × 10,564.12
  4. Step 4: Simplify right side
    26,155x = 414,548,111.90
  5. Step 5: Solve for x
    x = 414,548,111.90/26,155
  6. Step 6: Final answer
    x = 15,849.67

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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.