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Finding the Fourth Proportional to 8,470.64, 11,678.64 and 6,579.02

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Solution

The fourth proportional to 8,470.64, 11,678.64 and 6,579.02 is: 9,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.64 : 11,678.64 = 6,579.02 : x
  2. Step 2: Convert to fraction form
    8,470.64/11,678.64 = 6,579.02/x
  3. Step 3: Cross multiply
    8,470.64x = 11,678.64 × 6,579.02
  4. Step 4: Simplify right side
    8,470.64x = 76,834,006.13
  5. Step 5: Solve for x
    x = 76,834,006.13/8,470.64
  6. Step 6: Final answer
    x = 9,070.63

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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.