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Finding the Fourth Proportional to 8,624.40, 12,907.44 and 7,166.40

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Solution

The fourth proportional to 8,624.40, 12,907.44 and 7,166.40 is: 10,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.40 : 12,907.44 = 7,166.40 : x
  2. Step 2: Convert to fraction form
    8,624.40/12,907.44 = 7,166.40/x
  3. Step 3: Cross multiply
    8,624.40x = 12,907.44 × 7,166.40
  4. Step 4: Simplify right side
    8,624.40x = 92,499,878.02
  5. Step 5: Solve for x
    x = 92,499,878.02/8,624.40
  6. Step 6: Final answer
    x = 10,725.37

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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.