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Finding the Fourth Proportional to 12,582.92, 17,364.48 and 6,993.92

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Solution

The fourth proportional to 12,582.92, 17,364.48 and 6,993.92 is: 9,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.92 : 17,364.48 = 6,993.92 : x
  2. Step 2: Convert to fraction form
    12,582.92/17,364.48 = 6,993.92/x
  3. Step 3: Cross multiply
    12,582.92x = 17,364.48 × 6,993.92
  4. Step 4: Simplify right side
    12,582.92x = 121,445,783.96
  5. Step 5: Solve for x
    x = 121,445,783.96/12,582.92
  6. Step 6: Final answer
    x = 9,651.64

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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.