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Finding the Fourth Proportional to 7,135.20, 10,697.04 and 6,559.20

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Solution

The fourth proportional to 7,135.20, 10,697.04 and 6,559.20 is: 9,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.20 : 10,697.04 = 6,559.20 : x
  2. Step 2: Convert to fraction form
    7,135.20/10,697.04 = 6,559.20/x
  3. Step 3: Cross multiply
    7,135.20x = 10,697.04 × 6,559.20
  4. Step 4: Simplify right side
    7,135.20x = 70,164,024.77
  5. Step 5: Solve for x
    x = 70,164,024.77/7,135.20
  6. Step 6: Final answer
    x = 9,833.50

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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.