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Finding the Fourth Proportional to 11,710.83, 16,160.94 and 6,405.64

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Solution

The fourth proportional to 11,710.83, 16,160.94 and 6,405.64 is: 8,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.83 : 16,160.94 = 6,405.64 : x
  2. Step 2: Convert to fraction form
    11,710.83/16,160.94 = 6,405.64/x
  3. Step 3: Cross multiply
    11,710.83x = 16,160.94 × 6,405.64
  4. Step 4: Simplify right side
    11,710.83x = 103,521,254.95
  5. Step 5: Solve for x
    x = 103,521,254.95/11,710.83
  6. Step 6: Final answer
    x = 8,839.79

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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.