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Finding the Fourth Proportional to 7,971.42, 11,002.46 and 4,827

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Solution

The fourth proportional to 7,971.42, 11,002.46 and 4,827 is: 6,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.42 : 11,002.46 = 4,827 : x
  2. Step 2: Convert to fraction form
    7,971.42/11,002.46 = 4,827/x
  3. Step 3: Cross multiply
    7,971.42x = 11,002.46 × 4,827
  4. Step 4: Simplify right side
    7,971.42x = 53,108,850.29
  5. Step 5: Solve for x
    x = 53,108,850.29/7,971.42
  6. Step 6: Final answer
    x = 6,662.41

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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.