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Finding the Fourth Proportional to 6,224.34, 9,314.64 and 4,751.76

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Solution

The fourth proportional to 6,224.34, 9,314.64 and 4,751.76 is: 7,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.34 : 9,314.64 = 4,751.76 : x
  2. Step 2: Convert to fraction form
    6,224.34/9,314.64 = 4,751.76/x
  3. Step 3: Cross multiply
    6,224.34x = 9,314.64 × 4,751.76
  4. Step 4: Simplify right side
    6,224.34x = 44,260,933.77
  5. Step 5: Solve for x
    x = 44,260,933.77/6,224.34
  6. Step 6: Final answer
    x = 7,110.94

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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.