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Finding the Fourth Proportional to 11,407.34, 15,741.63 and 6,372.14

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Solution

The fourth proportional to 11,407.34, 15,741.63 and 6,372.14 is: 8,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.34 : 15,741.63 = 6,372.14 : x
  2. Step 2: Convert to fraction form
    11,407.34/15,741.63 = 6,372.14/x
  3. Step 3: Cross multiply
    11,407.34x = 15,741.63 × 6,372.14
  4. Step 4: Simplify right side
    11,407.34x = 100,307,870.19
  5. Step 5: Solve for x
    x = 100,307,870.19/11,407.34
  6. Step 6: Final answer
    x = 8,793.27

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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.