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Finding the Fourth Proportional to 6,405.48, 9,628.72 and 5,948.94

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Solution

The fourth proportional to 6,405.48, 9,628.72 and 5,948.94 is: 8,942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.48 : 9,628.72 = 5,948.94 : x
  2. Step 2: Convert to fraction form
    6,405.48/9,628.72 = 5,948.94/x
  3. Step 3: Cross multiply
    6,405.48x = 9,628.72 × 5,948.94
  4. Step 4: Simplify right side
    6,405.48x = 57,280,732.25
  5. Step 5: Solve for x
    x = 57,280,732.25/6,405.48
  6. Step 6: Final answer
    x = 8,942.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.