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Finding the Fourth Proportional to 7,228.40, 10,826.40 and 6,256.40

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Solution

The fourth proportional to 7,228.40, 10,826.40 and 6,256.40 is: 9,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.40 : 10,826.40 = 6,256.40 : x
  2. Step 2: Convert to fraction form
    7,228.40/10,826.40 = 6,256.40/x
  3. Step 3: Cross multiply
    7,228.40x = 10,826.40 × 6,256.40
  4. Step 4: Simplify right side
    7,228.40x = 67,734,288.96
  5. Step 5: Solve for x
    x = 67,734,288.96/7,228.40
  6. Step 6: Final answer
    x = 9,370.58

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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.