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Finding the Fourth Proportional to 6,164.96, 8,508 and 4,597.28

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Solution

The fourth proportional to 6,164.96, 8,508 and 4,597.28 is: 6,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.96 : 8,508 = 4,597.28 : x
  2. Step 2: Convert to fraction form
    6,164.96/8,508 = 4,597.28/x
  3. Step 3: Cross multiply
    6,164.96x = 8,508 × 4,597.28
  4. Step 4: Simplify right side
    6,164.96x = 39,113,658.24
  5. Step 5: Solve for x
    x = 39,113,658.24/6,164.96
  6. Step 6: Final answer
    x = 6,344.51

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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.