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Finding the Fourth Proportional to 7,805.34, 10,771.11 and 4,659.66

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Solution

The fourth proportional to 7,805.34, 10,771.11 and 4,659.66 is: 6,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.34 : 10,771.11 = 4,659.66 : x
  2. Step 2: Convert to fraction form
    7,805.34/10,771.11 = 4,659.66/x
  3. Step 3: Cross multiply
    7,805.34x = 10,771.11 × 4,659.66
  4. Step 4: Simplify right side
    7,805.34x = 50,189,710.42
  5. Step 5: Solve for x
    x = 50,189,710.42/7,805.34
  6. Step 6: Final answer
    x = 6,430.18

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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.