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Finding the Fourth Proportional to 11,305.14, 15,601.08 and 6,337.14

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Solution

The fourth proportional to 11,305.14, 15,601.08 and 6,337.14 is: 8,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.14 : 15,601.08 = 6,337.14 : x
  2. Step 2: Convert to fraction form
    11,305.14/15,601.08 = 6,337.14/x
  3. Step 3: Cross multiply
    11,305.14x = 15,601.08 × 6,337.14
  4. Step 4: Simplify right side
    11,305.14x = 98,866,228.11
  5. Step 5: Solve for x
    x = 98,866,228.11/11,305.14
  6. Step 6: Final answer
    x = 8,745.25

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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.