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Finding the Fourth Proportional to 7,841.99, 10,821.27 and 4,484.26

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Solution

The fourth proportional to 7,841.99, 10,821.27 and 4,484.26 is: 6,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.99 : 10,821.27 = 4,484.26 : x
  2. Step 2: Convert to fraction form
    7,841.99/10,821.27 = 4,484.26/x
  3. Step 3: Cross multiply
    7,841.99x = 10,821.27 × 4,484.26
  4. Step 4: Simplify right side
    7,841.99x = 48,525,361.16
  5. Step 5: Solve for x
    x = 48,525,361.16/7,841.99
  6. Step 6: Final answer
    x = 6,187.89

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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.