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Finding the Fourth Proportional to 26,523.63, 39,782.47 and 6,802.65

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Solution

The fourth proportional to 26,523.63, 39,782.47 and 6,802.65 is: 10,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,523.63 : 39,782.47 = 6,802.65 : x
  2. Step 2: Convert to fraction form
    26,523.63/39,782.47 = 6,802.65/x
  3. Step 3: Cross multiply
    26,523.63x = 39,782.47 × 6,802.65
  4. Step 4: Simplify right side
    26,523.63x = 270,626,219.55
  5. Step 5: Solve for x
    x = 270,626,219.55/26,523.63
  6. Step 6: Final answer
    x = 10,203.21

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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.