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Finding the Fourth Proportional to 9,610.32, 14,420.64 and 7,524.24

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Solution

The fourth proportional to 9,610.32, 14,420.64 and 7,524.24 is: 11,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.32 : 14,420.64 = 7,524.24 : x
  2. Step 2: Convert to fraction form
    9,610.32/14,420.64 = 7,524.24/x
  3. Step 3: Cross multiply
    9,610.32x = 14,420.64 × 7,524.24
  4. Step 4: Simplify right side
    9,610.32x = 108,504,356.31
  5. Step 5: Solve for x
    x = 108,504,356.31/9,610.32
  6. Step 6: Final answer
    x = 11,290.40

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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.