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Finding the Fourth Proportional to 6,415.20, 9,564.48 and 6,152.76

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Solution

The fourth proportional to 6,415.20, 9,564.48 and 6,152.76 is: 9,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.20 : 9,564.48 = 6,152.76 : x
  2. Step 2: Convert to fraction form
    6,415.20/9,564.48 = 6,152.76/x
  3. Step 3: Cross multiply
    6,415.20x = 9,564.48 × 6,152.76
  4. Step 4: Simplify right side
    6,415.20x = 58,847,949.96
  5. Step 5: Solve for x
    x = 58,847,949.96/6,415.20
  6. Step 6: Final answer
    x = 9,173.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.