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Finding the Fourth Proportional to 9,596.81, 14,393.80 and 3,024.61

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Solution

The fourth proportional to 9,596.81, 14,393.80 and 3,024.61 is: 4,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.81 : 14,393.80 = 3,024.61 : x
  2. Step 2: Convert to fraction form
    9,596.81/14,393.80 = 3,024.61/x
  3. Step 3: Cross multiply
    9,596.81x = 14,393.80 × 3,024.61
  4. Step 4: Simplify right side
    9,596.81x = 43,535,599.21
  5. Step 5: Solve for x
    x = 43,535,599.21/9,596.81
  6. Step 6: Final answer
    x = 4,536.46

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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.