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Finding the Fourth Proportional to 6,324.48, 9,421.92 and 6,255.36

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Solution

The fourth proportional to 6,324.48, 9,421.92 and 6,255.36 is: 9,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.48 : 9,421.92 = 6,255.36 : x
  2. Step 2: Convert to fraction form
    6,324.48/9,421.92 = 6,255.36/x
  3. Step 3: Cross multiply
    6,324.48x = 9,421.92 × 6,255.36
  4. Step 4: Simplify right side
    6,324.48x = 58,937,501.49
  5. Step 5: Solve for x
    x = 58,937,501.49/6,324.48
  6. Step 6: Final answer
    x = 9,318.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.