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Finding the Fourth Proportional to 11,362.14, 15,684.03 and 6,647.94

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Solution

The fourth proportional to 11,362.14, 15,684.03 and 6,647.94 is: 9,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.14 : 15,684.03 = 6,647.94 : x
  2. Step 2: Convert to fraction form
    11,362.14/15,684.03 = 6,647.94/x
  3. Step 3: Cross multiply
    11,362.14x = 15,684.03 × 6,647.94
  4. Step 4: Simplify right side
    11,362.14x = 104,266,490.40
  5. Step 5: Solve for x
    x = 104,266,490.40/11,362.14
  6. Step 6: Final answer
    x = 9,176.66

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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.