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Finding the Fourth Proportional to 8,288.35, 12,409.74 and 7,495.56

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Solution

The fourth proportional to 8,288.35, 12,409.74 and 7,495.56 is: 11,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.35 : 12,409.74 = 7,495.56 : x
  2. Step 2: Convert to fraction form
    8,288.35/12,409.74 = 7,495.56/x
  3. Step 3: Cross multiply
    8,288.35x = 12,409.74 × 7,495.56
  4. Step 4: Simplify right side
    8,288.35x = 93,017,950.75
  5. Step 5: Solve for x
    x = 93,017,950.75/8,288.35
  6. Step 6: Final answer
    x = 11,222.74

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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.