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Finding the Fourth Proportional to 9,096.51, 13,644.70 and 2,856.51

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Solution

The fourth proportional to 9,096.51, 13,644.70 and 2,856.51 is: 4,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.51 : 13,644.70 = 2,856.51 : x
  2. Step 2: Convert to fraction form
    9,096.51/13,644.70 = 2,856.51/x
  3. Step 3: Cross multiply
    9,096.51x = 13,644.70 × 2,856.51
  4. Step 4: Simplify right side
    9,096.51x = 38,976,214.86
  5. Step 5: Solve for x
    x = 38,976,214.86/9,096.51
  6. Step 6: Final answer
    x = 4,284.74

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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.