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Finding the Fourth Proportional to 8,576.54, 11,837.31 and 5,430.50

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Solution

The fourth proportional to 8,576.54, 11,837.31 and 5,430.50 is: 7,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.54 : 11,837.31 = 5,430.50 : x
  2. Step 2: Convert to fraction form
    8,576.54/11,837.31 = 5,430.50/x
  3. Step 3: Cross multiply
    8,576.54x = 11,837.31 × 5,430.50
  4. Step 4: Simplify right side
    8,576.54x = 64,282,511.96
  5. Step 5: Solve for x
    x = 64,282,511.96/8,576.54
  6. Step 6: Final answer
    x = 7,495.16

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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.