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Finding the Fourth Proportional to 7,781.84, 10,739 and 4,245.08

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Solution

The fourth proportional to 7,781.84, 10,739 and 4,245.08 is: 5,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.84 : 10,739 = 4,245.08 : x
  2. Step 2: Convert to fraction form
    7,781.84/10,739 = 4,245.08/x
  3. Step 3: Cross multiply
    7,781.84x = 10,739 × 4,245.08
  4. Step 4: Simplify right side
    7,781.84x = 45,587,914.12
  5. Step 5: Solve for x
    x = 45,587,914.12/7,781.84
  6. Step 6: Final answer
    x = 5,858.24

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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.