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Finding the Fourth Proportional to 6,582.80, 9,807.94 and 6,487.76

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Solution

The fourth proportional to 6,582.80, 9,807.94 and 6,487.76 is: 9,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.80 : 9,807.94 = 6,487.76 : x
  2. Step 2: Convert to fraction form
    6,582.80/9,807.94 = 6,487.76/x
  3. Step 3: Cross multiply
    6,582.80x = 9,807.94 × 6,487.76
  4. Step 4: Simplify right side
    6,582.80x = 63,631,560.81
  5. Step 5: Solve for x
    x = 63,631,560.81/6,582.80
  6. Step 6: Final answer
    x = 9,666.34

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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.