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Finding the Fourth Proportional to 6,502.74, 8,964.42 and 4,636.50

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Solution

The fourth proportional to 6,502.74, 8,964.42 and 4,636.50 is: 6,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.74 : 8,964.42 = 4,636.50 : x
  2. Step 2: Convert to fraction form
    6,502.74/8,964.42 = 4,636.50/x
  3. Step 3: Cross multiply
    6,502.74x = 8,964.42 × 4,636.50
  4. Step 4: Simplify right side
    6,502.74x = 41,563,533.33
  5. Step 5: Solve for x
    x = 41,563,533.33/6,502.74
  6. Step 6: Final answer
    x = 6,391.70

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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.