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Finding the Fourth Proportional to 6,574.56, 9,076.56 and 4,560.96

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Solution

The fourth proportional to 6,574.56, 9,076.56 and 4,560.96 is: 6,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.56 : 9,076.56 = 4,560.96 : x
  2. Step 2: Convert to fraction form
    6,574.56/9,076.56 = 4,560.96/x
  3. Step 3: Cross multiply
    6,574.56x = 9,076.56 × 4,560.96
  4. Step 4: Simplify right side
    6,574.56x = 41,397,827.10
  5. Step 5: Solve for x
    x = 41,397,827.10/6,574.56
  6. Step 6: Final answer
    x = 6,296.67

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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.