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Finding the Fourth Proportional to 9,148.50, 12,627.81 and 5,836.50

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Solution

The fourth proportional to 9,148.50, 12,627.81 and 5,836.50 is: 8,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.50 : 12,627.81 = 5,836.50 : x
  2. Step 2: Convert to fraction form
    9,148.50/12,627.81 = 5,836.50/x
  3. Step 3: Cross multiply
    9,148.50x = 12,627.81 × 5,836.50
  4. Step 4: Simplify right side
    9,148.50x = 73,702,213.07
  5. Step 5: Solve for x
    x = 73,702,213.07/9,148.50
  6. Step 6: Final answer
    x = 8,056.21

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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.