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Finding the Fourth Proportional to 9,280.41, 12,800.54 and 5,741.52

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Solution

The fourth proportional to 9,280.41, 12,800.54 and 5,741.52 is: 7,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.41 : 12,800.54 = 5,741.52 : x
  2. Step 2: Convert to fraction form
    9,280.41/12,800.54 = 5,741.52/x
  3. Step 3: Cross multiply
    9,280.41x = 12,800.54 × 5,741.52
  4. Step 4: Simplify right side
    9,280.41x = 73,494,527.71
  5. Step 5: Solve for x
    x = 73,494,527.71/9,280.41
  6. Step 6: Final answer
    x = 7,919.32

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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.