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Finding the Fourth Proportional to 7,713.40, 11,570.10 and 5,769.40

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Solution

The fourth proportional to 7,713.40, 11,570.10 and 5,769.40 is: 8,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.40 : 11,570.10 = 5,769.40 : x
  2. Step 2: Convert to fraction form
    7,713.40/11,570.10 = 5,769.40/x
  3. Step 3: Cross multiply
    7,713.40x = 11,570.10 × 5,769.40
  4. Step 4: Simplify right side
    7,713.40x = 66,752,534.94
  5. Step 5: Solve for x
    x = 66,752,534.94/7,713.40
  6. Step 6: Final answer
    x = 8,654.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.