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Finding the Fourth Proportional to 8,317, 11,477.30 and 4,540.15

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Solution

The fourth proportional to 8,317, 11,477.30 and 4,540.15 is: 6,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317 : 11,477.30 = 4,540.15 : x
  2. Step 2: Convert to fraction form
    8,317/11,477.30 = 4,540.15/x
  3. Step 3: Cross multiply
    8,317x = 11,477.30 × 4,540.15
  4. Step 4: Simplify right side
    8,317x = 52,108,663.60
  5. Step 5: Solve for x
    x = 52,108,663.60/8,317
  6. Step 6: Final answer
    x = 6,265.32

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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.