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Finding the Fourth Proportional to 7,182.36, 9,907.38 and 4,383

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Solution

The fourth proportional to 7,182.36, 9,907.38 and 4,383 is: 6,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.36 : 9,907.38 = 4,383 : x
  2. Step 2: Convert to fraction form
    7,182.36/9,907.38 = 4,383/x
  3. Step 3: Cross multiply
    7,182.36x = 9,907.38 × 4,383
  4. Step 4: Simplify right side
    7,182.36x = 43,424,046.54
  5. Step 5: Solve for x
    x = 43,424,046.54/7,182.36
  6. Step 6: Final answer
    x = 6,045.93

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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.