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Finding the Fourth Proportional to 26,256.56, 39,384.98 and 6,535.12

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Solution

The fourth proportional to 26,256.56, 39,384.98 and 6,535.12 is: 9,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,256.56 : 39,384.98 = 6,535.12 : x
  2. Step 2: Convert to fraction form
    26,256.56/39,384.98 = 6,535.12/x
  3. Step 3: Cross multiply
    26,256.56x = 39,384.98 × 6,535.12
  4. Step 4: Simplify right side
    26,256.56x = 257,385,570.50
  5. Step 5: Solve for x
    x = 257,385,570.50/26,256.56
  6. Step 6: Final answer
    x = 9,802.71

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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.