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Finding the Fourth Proportional to 6,992.64, 10,478.94 and 5,262.48

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Solution

The fourth proportional to 6,992.64, 10,478.94 and 5,262.48 is: 7,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.64 : 10,478.94 = 5,262.48 : x
  2. Step 2: Convert to fraction form
    6,992.64/10,478.94 = 5,262.48/x
  3. Step 3: Cross multiply
    6,992.64x = 10,478.94 × 5,262.48
  4. Step 4: Simplify right side
    6,992.64x = 55,145,212.17
  5. Step 5: Solve for x
    x = 55,145,212.17/6,992.64
  6. Step 6: Final answer
    x = 7,886.18

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1.5x scale

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.