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Finding the Fourth Proportional to 8,360, 11,537.04 and 4,634.24

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Solution

The fourth proportional to 8,360, 11,537.04 and 4,634.24 is: 6,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360 : 11,537.04 = 4,634.24 : x
  2. Step 2: Convert to fraction form
    8,360/11,537.04 = 4,634.24/x
  3. Step 3: Cross multiply
    8,360x = 11,537.04 × 4,634.24
  4. Step 4: Simplify right side
    8,360x = 53,465,412.25
  5. Step 5: Solve for x
    x = 53,465,412.25/8,360
  6. Step 6: Final answer
    x = 6,395.38

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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.