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Finding the Fourth Proportional to 5,562.86, 7,676.70 and 3,574.16

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Solution

The fourth proportional to 5,562.86, 7,676.70 and 3,574.16 is: 4,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.86 : 7,676.70 = 3,574.16 : x
  2. Step 2: Convert to fraction form
    5,562.86/7,676.70 = 3,574.16/x
  3. Step 3: Cross multiply
    5,562.86x = 7,676.70 × 3,574.16
  4. Step 4: Simplify right side
    5,562.86x = 27,437,754.07
  5. Step 5: Solve for x
    x = 27,437,754.07/5,562.86
  6. Step 6: Final answer
    x = 4,932.31

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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.