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Finding the Fourth Proportional to 9,651.52, 14,478.36 and 4,456

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Solution

The fourth proportional to 9,651.52, 14,478.36 and 4,456 is: 6,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.52 : 14,478.36 = 4,456 : x
  2. Step 2: Convert to fraction form
    9,651.52/14,478.36 = 4,456/x
  3. Step 3: Cross multiply
    9,651.52x = 14,478.36 × 4,456
  4. Step 4: Simplify right side
    9,651.52x = 64,515,572.16
  5. Step 5: Solve for x
    x = 64,515,572.16/9,651.52
  6. Step 6: Final answer
    x = 6,684.50

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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.