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Finding the Fourth Proportional to 9,596.54, 14,395.32 and 3,023.24

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Solution

The fourth proportional to 9,596.54, 14,395.32 and 3,023.24 is: 4,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.54 : 14,395.32 = 3,023.24 : x
  2. Step 2: Convert to fraction form
    9,596.54/14,395.32 = 3,023.24/x
  3. Step 3: Cross multiply
    9,596.54x = 14,395.32 × 3,023.24
  4. Step 4: Simplify right side
    9,596.54x = 43,520,420.14
  5. Step 5: Solve for x
    x = 43,520,420.14/9,596.54
  6. Step 6: Final answer
    x = 4,535.01

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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.