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Finding the Fourth Proportional to 11,539.92, 15,925.48 and 6,822.48

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Solution

The fourth proportional to 11,539.92, 15,925.48 and 6,822.48 is: 9,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.92 : 15,925.48 = 6,822.48 : x
  2. Step 2: Convert to fraction form
    11,539.92/15,925.48 = 6,822.48/x
  3. Step 3: Cross multiply
    11,539.92x = 15,925.48 × 6,822.48
  4. Step 4: Simplify right side
    11,539.92x = 108,651,268.79
  5. Step 5: Solve for x
    x = 108,651,268.79/11,539.92
  6. Step 6: Final answer
    x = 9,415.25

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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.