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Finding the Fourth Proportional to 6,592.56, 9,895.68 and 4,416.50

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Solution

The fourth proportional to 6,592.56, 9,895.68 and 4,416.50 is: 6,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.56 : 9,895.68 = 4,416.50 : x
  2. Step 2: Convert to fraction form
    6,592.56/9,895.68 = 4,416.50/x
  3. Step 3: Cross multiply
    6,592.56x = 9,895.68 × 4,416.50
  4. Step 4: Simplify right side
    6,592.56x = 43,704,258.35
  5. Step 5: Solve for x
    x = 43,704,258.35/6,592.56
  6. Step 6: Final answer
    x = 6,629.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.