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Finding the Fourth Proportional to 6,539.46, 9,807.60 and 4,582.60

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Solution

The fourth proportional to 6,539.46, 9,807.60 and 4,582.60 is: 6,872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.46 : 9,807.60 = 4,582.60 : x
  2. Step 2: Convert to fraction form
    6,539.46/9,807.60 = 4,582.60/x
  3. Step 3: Cross multiply
    6,539.46x = 9,807.60 × 4,582.60
  4. Step 4: Simplify right side
    6,539.46x = 44,944,307.76
  5. Step 5: Solve for x
    x = 44,944,307.76/6,539.46
  6. Step 6: Final answer
    x = 6,872.79

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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.