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Finding the Fourth Proportional to 7,805.42, 10,769.31 and 4,660.46

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Solution

The fourth proportional to 7,805.42, 10,769.31 and 4,660.46 is: 6,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.42 : 10,769.31 = 4,660.46 : x
  2. Step 2: Convert to fraction form
    7,805.42/10,769.31 = 4,660.46/x
  3. Step 3: Cross multiply
    7,805.42x = 10,769.31 × 4,660.46
  4. Step 4: Simplify right side
    7,805.42x = 50,189,938.48
  5. Step 5: Solve for x
    x = 50,189,938.48/7,805.42
  6. Step 6: Final answer
    x = 6,430.14

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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.