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Finding the Fourth Proportional to 7,446, 10,272.96 and 4,301.04

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Solution

The fourth proportional to 7,446, 10,272.96 and 4,301.04 is: 5,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446 : 10,272.96 = 4,301.04 : x
  2. Step 2: Convert to fraction form
    7,446/10,272.96 = 4,301.04/x
  3. Step 3: Cross multiply
    7,446x = 10,272.96 × 4,301.04
  4. Step 4: Simplify right side
    7,446x = 44,184,411.88
  5. Step 5: Solve for x
    x = 44,184,411.88/7,446
  6. Step 6: Final answer
    x = 5,933.98

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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.