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Finding the Fourth Proportional to 7,809, 10,781.58 and 4,829.22

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Solution

The fourth proportional to 7,809, 10,781.58 and 4,829.22 is: 6,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809 : 10,781.58 = 4,829.22 : x
  2. Step 2: Convert to fraction form
    7,809/10,781.58 = 4,829.22/x
  3. Step 3: Cross multiply
    7,809x = 10,781.58 × 4,829.22
  4. Step 4: Simplify right side
    7,809x = 52,066,621.77
  5. Step 5: Solve for x
    x = 52,066,621.77/7,809
  6. Step 6: Final answer
    x = 6,667.51

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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.