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Finding the Fourth Proportional to 10,813.14, 14,922.36 and 6,340.32

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Solution

The fourth proportional to 10,813.14, 14,922.36 and 6,340.32 is: 8,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.14 : 14,922.36 = 6,340.32 : x
  2. Step 2: Convert to fraction form
    10,813.14/14,922.36 = 6,340.32/x
  3. Step 3: Cross multiply
    10,813.14x = 14,922.36 × 6,340.32
  4. Step 4: Simplify right side
    10,813.14x = 94,612,537.56
  5. Step 5: Solve for x
    x = 94,612,537.56/10,813.14
  6. Step 6: Final answer
    x = 8,749.77

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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.