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Finding the Fourth Proportional to 7,707.71, 11,539.04 and 6,969.04

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Solution

The fourth proportional to 7,707.71, 11,539.04 and 6,969.04 is: 10,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.71 : 11,539.04 = 6,969.04 : x
  2. Step 2: Convert to fraction form
    7,707.71/11,539.04 = 6,969.04/x
  3. Step 3: Cross multiply
    7,707.71x = 11,539.04 × 6,969.04
  4. Step 4: Simplify right side
    7,707.71x = 80,415,996.48
  5. Step 5: Solve for x
    x = 80,415,996.48/7,707.71
  6. Step 6: Final answer
    x = 10,433.19

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1.5x scale

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.