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Finding the Fourth Proportional to 7,965.04, 11,952.68 and 4,220.24

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Solution

The fourth proportional to 7,965.04, 11,952.68 and 4,220.24 is: 6,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.04 : 11,952.68 = 4,220.24 : x
  2. Step 2: Convert to fraction form
    7,965.04/11,952.68 = 4,220.24/x
  3. Step 3: Cross multiply
    7,965.04x = 11,952.68 × 4,220.24
  4. Step 4: Simplify right side
    7,965.04x = 50,443,178.24
  5. Step 5: Solve for x
    x = 50,443,178.24/7,965.04
  6. Step 6: Final answer
    x = 6,333.07

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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.