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Finding the Fourth Proportional to 12,093.67, 16,684.50 and 6,985.81

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Solution

The fourth proportional to 12,093.67, 16,684.50 and 6,985.81 is: 9,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.67 : 16,684.50 = 6,985.81 : x
  2. Step 2: Convert to fraction form
    12,093.67/16,684.50 = 6,985.81/x
  3. Step 3: Cross multiply
    12,093.67x = 16,684.50 × 6,985.81
  4. Step 4: Simplify right side
    12,093.67x = 116,554,746.95
  5. Step 5: Solve for x
    x = 116,554,746.95/12,093.67
  6. Step 6: Final answer
    x = 9,637.67

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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.