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Finding the Fourth Proportional to 26,762.65, 40,146.71 and 9,230.20

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Solution

The fourth proportional to 26,762.65, 40,146.71 and 9,230.20 is: 13,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,762.65 : 40,146.71 = 9,230.20 : x
  2. Step 2: Convert to fraction form
    26,762.65/40,146.71 = 9,230.20/x
  3. Step 3: Cross multiply
    26,762.65x = 40,146.71 × 9,230.20
  4. Step 4: Simplify right side
    26,762.65x = 370,562,319.83
  5. Step 5: Solve for x
    x = 370,562,319.83/26,762.65
  6. Step 6: Final answer
    x = 13,846.25

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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.