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Finding the Fourth Proportional to 7,965.09, 10,990.62 and 4,607.24

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Solution

The fourth proportional to 7,965.09, 10,990.62 and 4,607.24 is: 6,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.09 : 10,990.62 = 4,607.24 : x
  2. Step 2: Convert to fraction form
    7,965.09/10,990.62 = 4,607.24/x
  3. Step 3: Cross multiply
    7,965.09x = 10,990.62 × 4,607.24
  4. Step 4: Simplify right side
    7,965.09x = 50,636,369.14
  5. Step 5: Solve for x
    x = 50,636,369.14/7,965.09
  6. Step 6: Final answer
    x = 6,357.29

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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.