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Finding the Fourth Proportional to 11,860.18, 16,365.98 and 6,823.06

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Solution

The fourth proportional to 11,860.18, 16,365.98 and 6,823.06 is: 9,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.18 : 16,365.98 = 6,823.06 : x
  2. Step 2: Convert to fraction form
    11,860.18/16,365.98 = 6,823.06/x
  3. Step 3: Cross multiply
    11,860.18x = 16,365.98 × 6,823.06
  4. Step 4: Simplify right side
    11,860.18x = 111,666,063.50
  5. Step 5: Solve for x
    x = 111,666,063.50/11,860.18
  6. Step 6: Final answer
    x = 9,415.21

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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.