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Finding the Fourth Proportional to 7,152.96, 10,729.92 and 4,068.48

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Solution

The fourth proportional to 7,152.96, 10,729.92 and 4,068.48 is: 6,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.96 : 10,729.92 = 4,068.48 : x
  2. Step 2: Convert to fraction form
    7,152.96/10,729.92 = 4,068.48/x
  3. Step 3: Cross multiply
    7,152.96x = 10,729.92 × 4,068.48
  4. Step 4: Simplify right side
    7,152.96x = 43,654,464.92
  5. Step 5: Solve for x
    x = 43,654,464.92/7,152.96
  6. Step 6: Final answer
    x = 6,102.99

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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.