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Finding the Fourth Proportional to 9,801.48, 13,525.85 and 5,552.48

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Solution

The fourth proportional to 9,801.48, 13,525.85 and 5,552.48 is: 7,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.48 : 13,525.85 = 5,552.48 : x
  2. Step 2: Convert to fraction form
    9,801.48/13,525.85 = 5,552.48/x
  3. Step 3: Cross multiply
    9,801.48x = 13,525.85 × 5,552.48
  4. Step 4: Simplify right side
    9,801.48x = 75,102,059.30
  5. Step 5: Solve for x
    x = 75,102,059.30/9,801.48
  6. Step 6: Final answer
    x = 7,662.32

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1.5x scale

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.