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Finding the Fourth Proportional to 7,235.68, 10,854.08 and 2,305.12

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Solution

The fourth proportional to 7,235.68, 10,854.08 and 2,305.12 is: 3,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.68 : 10,854.08 = 2,305.12 : x
  2. Step 2: Convert to fraction form
    7,235.68/10,854.08 = 2,305.12/x
  3. Step 3: Cross multiply
    7,235.68x = 10,854.08 × 2,305.12
  4. Step 4: Simplify right side
    7,235.68x = 25,019,956.89
  5. Step 5: Solve for x
    x = 25,019,956.89/7,235.68
  6. Step 6: Final answer
    x = 3,457.86

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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.