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Finding the Fourth Proportional to 10,496.64, 15,750.42 and 4,651.89

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Solution

The fourth proportional to 10,496.64, 15,750.42 and 4,651.89 is: 6,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.64 : 15,750.42 = 4,651.89 : x
  2. Step 2: Convert to fraction form
    10,496.64/15,750.42 = 4,651.89/x
  3. Step 3: Cross multiply
    10,496.64x = 15,750.42 × 4,651.89
  4. Step 4: Simplify right side
    10,496.64x = 73,269,221.29
  5. Step 5: Solve for x
    x = 73,269,221.29/10,496.64
  6. Step 6: Final answer
    x = 6,980.25

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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.