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Finding the Fourth Proportional to 6,314.76, 8,709.12 and 4,740.12

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Solution

The fourth proportional to 6,314.76, 8,709.12 and 4,740.12 is: 6,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.76 : 8,709.12 = 4,740.12 : x
  2. Step 2: Convert to fraction form
    6,314.76/8,709.12 = 4,740.12/x
  3. Step 3: Cross multiply
    6,314.76x = 8,709.12 × 4,740.12
  4. Step 4: Simplify right side
    6,314.76x = 41,282,273.89
  5. Step 5: Solve for x
    x = 41,282,273.89/6,314.76
  6. Step 6: Final answer
    x = 6,537.43

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Double scale
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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.