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Finding the Fourth Proportional to 10,293, 14,206.80 and 6,103.68

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Solution

The fourth proportional to 10,293, 14,206.80 and 6,103.68 is: 8,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293 : 14,206.80 = 6,103.68 : x
  2. Step 2: Convert to fraction form
    10,293/14,206.80 = 6,103.68/x
  3. Step 3: Cross multiply
    10,293x = 14,206.80 × 6,103.68
  4. Step 4: Simplify right side
    10,293x = 86,713,761.02
  5. Step 5: Solve for x
    x = 86,713,761.02/10,293
  6. Step 6: Final answer
    x = 8,424.54

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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.