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Finding the Fourth Proportional to 7,205.87, 9,942.59 and 4,374.74

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Solution

The fourth proportional to 7,205.87, 9,942.59 and 4,374.74 is: 6,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.87 : 9,942.59 = 4,374.74 : x
  2. Step 2: Convert to fraction form
    7,205.87/9,942.59 = 4,374.74/x
  3. Step 3: Cross multiply
    7,205.87x = 9,942.59 × 4,374.74
  4. Step 4: Simplify right side
    7,205.87x = 43,496,174.59
  5. Step 5: Solve for x
    x = 43,496,174.59/7,205.87
  6. Step 6: Final answer
    x = 6,036.21

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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.