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Finding the Fourth Proportional to 7,970.72, 11,000 and 4,434

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Solution

The fourth proportional to 7,970.72, 11,000 and 4,434 is: 6,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.72 : 11,000 = 4,434 : x
  2. Step 2: Convert to fraction form
    7,970.72/11,000 = 4,434/x
  3. Step 3: Cross multiply
    7,970.72x = 11,000 × 4,434
  4. Step 4: Simplify right side
    7,970.72x = 48,774,000
  5. Step 5: Solve for x
    x = 48,774,000/7,970.72
  6. Step 6: Final answer
    x = 6,119.15

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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.