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Finding the Fourth Proportional to 6,563.70, 9,047.30 and 5,710.77

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Solution

The fourth proportional to 6,563.70, 9,047.30 and 5,710.77 is: 7,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.70 : 9,047.30 = 5,710.77 : x
  2. Step 2: Convert to fraction form
    6,563.70/9,047.30 = 5,710.77/x
  3. Step 3: Cross multiply
    6,563.70x = 9,047.30 × 5,710.77
  4. Step 4: Simplify right side
    6,563.70x = 51,667,020.87
  5. Step 5: Solve for x
    x = 51,667,020.87/6,563.70
  6. Step 6: Final answer
    x = 7,871.63

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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.