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Finding the Fourth Proportional to 9,750.48, 13,449.24 and 6,208.08

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Solution

The fourth proportional to 9,750.48, 13,449.24 and 6,208.08 is: 8,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.48 : 13,449.24 = 6,208.08 : x
  2. Step 2: Convert to fraction form
    9,750.48/13,449.24 = 6,208.08/x
  3. Step 3: Cross multiply
    9,750.48x = 13,449.24 × 6,208.08
  4. Step 4: Simplify right side
    9,750.48x = 83,493,957.86
  5. Step 5: Solve for x
    x = 83,493,957.86/9,750.48
  6. Step 6: Final answer
    x = 8,563.06

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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.