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Finding the Fourth Proportional to 7,074, 9,762.70 and 4,561.34

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Solution

The fourth proportional to 7,074, 9,762.70 and 4,561.34 is: 6,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074 : 9,762.70 = 4,561.34 : x
  2. Step 2: Convert to fraction form
    7,074/9,762.70 = 4,561.34/x
  3. Step 3: Cross multiply
    7,074x = 9,762.70 × 4,561.34
  4. Step 4: Simplify right side
    7,074x = 44,530,994.02
  5. Step 5: Solve for x
    x = 44,530,994.02/7,074
  6. Step 6: Final answer
    x = 6,295.02

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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.