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Finding the Fourth Proportional to 6,300.48, 9,456.48 and 4,834.88

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Solution

The fourth proportional to 6,300.48, 9,456.48 and 4,834.88 is: 7,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.48 : 9,456.48 = 4,834.88 : x
  2. Step 2: Convert to fraction form
    6,300.48/9,456.48 = 4,834.88/x
  3. Step 3: Cross multiply
    6,300.48x = 9,456.48 × 4,834.88
  4. Step 4: Simplify right side
    6,300.48x = 45,720,946.02
  5. Step 5: Solve for x
    x = 45,720,946.02/6,300.48
  6. Step 6: Final answer
    x = 7,256.74

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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.