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Finding the Fourth Proportional to 11,302.14, 15,596.94 and 6,334.14

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Solution

The fourth proportional to 11,302.14, 15,596.94 and 6,334.14 is: 8,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.14 : 15,596.94 = 6,334.14 : x
  2. Step 2: Convert to fraction form
    11,302.14/15,596.94 = 6,334.14/x
  3. Step 3: Cross multiply
    11,302.14x = 15,596.94 × 6,334.14
  4. Step 4: Simplify right side
    11,302.14x = 98,793,201.53
  5. Step 5: Solve for x
    x = 98,793,201.53/11,302.14
  6. Step 6: Final answer
    x = 8,741.11

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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.