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Finding the Fourth Proportional to 7,509.70, 11,264.55 and 6,829.30

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Solution

The fourth proportional to 7,509.70, 11,264.55 and 6,829.30 is: 10,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.70 : 11,264.55 = 6,829.30 : x
  2. Step 2: Convert to fraction form
    7,509.70/11,264.55 = 6,829.30/x
  3. Step 3: Cross multiply
    7,509.70x = 11,264.55 × 6,829.30
  4. Step 4: Simplify right side
    7,509.70x = 76,928,991.32
  5. Step 5: Solve for x
    x = 76,928,991.32/7,509.70
  6. Step 6: Final answer
    x = 10,243.95

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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.