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Finding the Fourth Proportional to 10,622.96, 14,657.96 and 5,907.12

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Solution

The fourth proportional to 10,622.96, 14,657.96 and 5,907.12 is: 8,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.96 : 14,657.96 = 5,907.12 : x
  2. Step 2: Convert to fraction form
    10,622.96/14,657.96 = 5,907.12/x
  3. Step 3: Cross multiply
    10,622.96x = 14,657.96 × 5,907.12
  4. Step 4: Simplify right side
    10,622.96x = 86,586,328.68
  5. Step 5: Solve for x
    x = 86,586,328.68/10,622.96
  6. Step 6: Final answer
    x = 8,150.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.