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Finding the Fourth Proportional to 8,676.48, 11,960.64 and 6,810.24

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Solution

The fourth proportional to 8,676.48, 11,960.64 and 6,810.24 is: 9,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.48 : 11,960.64 = 6,810.24 : x
  2. Step 2: Convert to fraction form
    8,676.48/11,960.64 = 6,810.24/x
  3. Step 3: Cross multiply
    8,676.48x = 11,960.64 × 6,810.24
  4. Step 4: Simplify right side
    8,676.48x = 81,454,828.95
  5. Step 5: Solve for x
    x = 81,454,828.95/8,676.48
  6. Step 6: Final answer
    x = 9,388.00

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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.