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Finding the Fourth Proportional to 7,302.86, 10,954.90 and 3,142.96

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Solution

The fourth proportional to 7,302.86, 10,954.90 and 3,142.96 is: 4,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.86 : 10,954.90 = 3,142.96 : x
  2. Step 2: Convert to fraction form
    7,302.86/10,954.90 = 3,142.96/x
  3. Step 3: Cross multiply
    7,302.86x = 10,954.90 × 3,142.96
  4. Step 4: Simplify right side
    7,302.86x = 34,430,812.50
  5. Step 5: Solve for x
    x = 34,430,812.50/7,302.86
  6. Step 6: Final answer
    x = 4,714.70

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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.