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Finding the Fourth Proportional to 7,302.30, 10,969.65 and 7,107.90

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Solution

The fourth proportional to 7,302.30, 10,969.65 and 7,107.90 is: 10,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.30 : 10,969.65 = 7,107.90 : x
  2. Step 2: Convert to fraction form
    7,302.30/10,969.65 = 7,107.90/x
  3. Step 3: Cross multiply
    7,302.30x = 10,969.65 × 7,107.90
  4. Step 4: Simplify right side
    7,302.30x = 77,971,175.24
  5. Step 5: Solve for x
    x = 77,971,175.24/7,302.30
  6. Step 6: Final answer
    x = 10,677.62

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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.