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Finding the Fourth Proportional to 10,415.40, 15,627 and 6,201.08

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Solution

The fourth proportional to 10,415.40, 15,627 and 6,201.08 is: 9,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.40 : 15,627 = 6,201.08 : x
  2. Step 2: Convert to fraction form
    10,415.40/15,627 = 6,201.08/x
  3. Step 3: Cross multiply
    10,415.40x = 15,627 × 6,201.08
  4. Step 4: Simplify right side
    10,415.40x = 96,904,277.16
  5. Step 5: Solve for x
    x = 96,904,277.16/10,415.40
  6. Step 6: Final answer
    x = 9,303.94

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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.