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Finding the Fourth Proportional to 8,379.94, 11,564.25 and 4,603.16

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Solution

The fourth proportional to 8,379.94, 11,564.25 and 4,603.16 is: 6,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.94 : 11,564.25 = 4,603.16 : x
  2. Step 2: Convert to fraction form
    8,379.94/11,564.25 = 4,603.16/x
  3. Step 3: Cross multiply
    8,379.94x = 11,564.25 × 4,603.16
  4. Step 4: Simplify right side
    8,379.94x = 53,232,093.03
  5. Step 5: Solve for x
    x = 53,232,093.03/8,379.94
  6. Step 6: Final answer
    x = 6,352.32

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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.