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Finding the Fourth Proportional to 7,167, 9,891.54 and 4,374.12

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Solution

The fourth proportional to 7,167, 9,891.54 and 4,374.12 is: 6,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167 : 9,891.54 = 4,374.12 : x
  2. Step 2: Convert to fraction form
    7,167/9,891.54 = 4,374.12/x
  3. Step 3: Cross multiply
    7,167x = 9,891.54 × 4,374.12
  4. Step 4: Simplify right side
    7,167x = 43,266,782.94
  5. Step 5: Solve for x
    x = 43,266,782.94/7,167
  6. Step 6: Final answer
    x = 6,036.94

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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.