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Finding the Fourth Proportional to 10,340.65, 14,265.48 and 6,982.39

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Solution

The fourth proportional to 10,340.65, 14,265.48 and 6,982.39 is: 9,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.65 : 14,265.48 = 6,982.39 : x
  2. Step 2: Convert to fraction form
    10,340.65/14,265.48 = 6,982.39/x
  3. Step 3: Cross multiply
    10,340.65x = 14,265.48 × 6,982.39
  4. Step 4: Simplify right side
    10,340.65x = 99,607,144.90
  5. Step 5: Solve for x
    x = 99,607,144.90/10,340.65
  6. Step 6: Final answer
    x = 9,632.58

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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.