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Finding the Fourth Proportional to 7,070.24, 9,756.72 and 4,086

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Solution

The fourth proportional to 7,070.24, 9,756.72 and 4,086 is: 5,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.24 : 9,756.72 = 4,086 : x
  2. Step 2: Convert to fraction form
    7,070.24/9,756.72 = 4,086/x
  3. Step 3: Cross multiply
    7,070.24x = 9,756.72 × 4,086
  4. Step 4: Simplify right side
    7,070.24x = 39,865,957.92
  5. Step 5: Solve for x
    x = 39,865,957.92/7,070.24
  6. Step 6: Final answer
    x = 5,638.56

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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.