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Finding the Fourth Proportional to 11,907.61, 16,433.17 and 6,602.31

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Solution

The fourth proportional to 11,907.61, 16,433.17 and 6,602.31 is: 9,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.61 : 16,433.17 = 6,602.31 : x
  2. Step 2: Convert to fraction form
    11,907.61/16,433.17 = 6,602.31/x
  3. Step 3: Cross multiply
    11,907.61x = 16,433.17 × 6,602.31
  4. Step 4: Simplify right side
    11,907.61x = 108,496,866.12
  5. Step 5: Solve for x
    x = 108,496,866.12/11,907.61
  6. Step 6: Final answer
    x = 9,111.56

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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.