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Finding the Fourth Proportional to 10,458.99, 15,682.14 and 4,914

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Solution

The fourth proportional to 10,458.99, 15,682.14 and 4,914 is: 7,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.99 : 15,682.14 = 4,914 : x
  2. Step 2: Convert to fraction form
    10,458.99/15,682.14 = 4,914/x
  3. Step 3: Cross multiply
    10,458.99x = 15,682.14 × 4,914
  4. Step 4: Simplify right side
    10,458.99x = 77,062,035.96
  5. Step 5: Solve for x
    x = 77,062,035.96/10,458.99
  6. Step 6: Final answer
    x = 7,368.02

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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.