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Finding the Fourth Proportional to 9,596.84, 14,391.46 and 4,665.02

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Solution

The fourth proportional to 9,596.84, 14,391.46 and 4,665.02 is: 6,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.84 : 14,391.46 = 4,665.02 : x
  2. Step 2: Convert to fraction form
    9,596.84/14,391.46 = 4,665.02/x
  3. Step 3: Cross multiply
    9,596.84x = 14,391.46 × 4,665.02
  4. Step 4: Simplify right side
    9,596.84x = 67,136,448.73
  5. Step 5: Solve for x
    x = 67,136,448.73/9,596.84
  6. Step 6: Final answer
    x = 6,995.68

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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.