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Finding the Fourth Proportional to 7,393.82, 10,205.73 and 4,562.07

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Solution

The fourth proportional to 7,393.82, 10,205.73 and 4,562.07 is: 6,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.82 : 10,205.73 = 4,562.07 : x
  2. Step 2: Convert to fraction form
    7,393.82/10,205.73 = 4,562.07/x
  3. Step 3: Cross multiply
    7,393.82x = 10,205.73 × 4,562.07
  4. Step 4: Simplify right side
    7,393.82x = 46,559,254.66
  5. Step 5: Solve for x
    x = 46,559,254.66/7,393.82
  6. Step 6: Final answer
    x = 6,297.05

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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.