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Finding the Fourth Proportional to 6,416.58, 9,621.54 and 4,336.50

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Solution

The fourth proportional to 6,416.58, 9,621.54 and 4,336.50 is: 6,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.58 : 9,621.54 = 4,336.50 : x
  2. Step 2: Convert to fraction form
    6,416.58/9,621.54 = 4,336.50/x
  3. Step 3: Cross multiply
    6,416.58x = 9,621.54 × 4,336.50
  4. Step 4: Simplify right side
    6,416.58x = 41,723,808.21
  5. Step 5: Solve for x
    x = 41,723,808.21/6,416.58
  6. Step 6: Final answer
    x = 6,502.50

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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.