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Finding the Fourth Proportional to 7,926.30, 10,943.64 and 7,084.31

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Solution

The fourth proportional to 7,926.30, 10,943.64 and 7,084.31 is: 9,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.30 : 10,943.64 = 7,084.31 : x
  2. Step 2: Convert to fraction form
    7,926.30/10,943.64 = 7,084.31/x
  3. Step 3: Cross multiply
    7,926.30x = 10,943.64 × 7,084.31
  4. Step 4: Simplify right side
    7,926.30x = 77,528,083.57
  5. Step 5: Solve for x
    x = 77,528,083.57/7,926.30
  6. Step 6: Final answer
    x = 9,781.12

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1.5x scale

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.