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Finding the Fourth Proportional to 7,624.56, 10,519.56 and 4,971

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Solution

The fourth proportional to 7,624.56, 10,519.56 and 4,971 is: 6,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.56 : 10,519.56 = 4,971 : x
  2. Step 2: Convert to fraction form
    7,624.56/10,519.56 = 4,971/x
  3. Step 3: Cross multiply
    7,624.56x = 10,519.56 × 4,971
  4. Step 4: Simplify right side
    7,624.56x = 52,292,732.76
  5. Step 5: Solve for x
    x = 52,292,732.76/7,624.56
  6. Step 6: Final answer
    x = 6,858.46

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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.