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Finding the Fourth Proportional to 6,594.06, 9,871.95 and 5,128.77

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Solution

The fourth proportional to 6,594.06, 9,871.95 and 5,128.77 is: 7,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.06 : 9,871.95 = 5,128.77 : x
  2. Step 2: Convert to fraction form
    6,594.06/9,871.95 = 5,128.77/x
  3. Step 3: Cross multiply
    6,594.06x = 9,871.95 × 5,128.77
  4. Step 4: Simplify right side
    6,594.06x = 50,630,947.30
  5. Step 5: Solve for x
    x = 50,630,947.30/6,594.06
  6. Step 6: Final answer
    x = 7,678.27

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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.