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Finding the Fourth Proportional to 9,762.36, 13,471.92 and 5,932.68

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Solution

The fourth proportional to 9,762.36, 13,471.92 and 5,932.68 is: 8,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.36 : 13,471.92 = 5,932.68 : x
  2. Step 2: Convert to fraction form
    9,762.36/13,471.92 = 5,932.68/x
  3. Step 3: Cross multiply
    9,762.36x = 13,471.92 × 5,932.68
  4. Step 4: Simplify right side
    9,762.36x = 79,924,590.35
  5. Step 5: Solve for x
    x = 79,924,590.35/9,762.36
  6. Step 6: Final answer
    x = 8,187.02

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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.