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Finding the Fourth Proportional to 10,297, 14,209.94 and 6,108.84

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Solution

The fourth proportional to 10,297, 14,209.94 and 6,108.84 is: 8,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297 : 14,209.94 = 6,108.84 : x
  2. Step 2: Convert to fraction form
    10,297/14,209.94 = 6,108.84/x
  3. Step 3: Cross multiply
    10,297x = 14,209.94 × 6,108.84
  4. Step 4: Simplify right side
    10,297x = 86,806,249.87
  5. Step 5: Solve for x
    x = 86,806,249.87/10,297
  6. Step 6: Final answer
    x = 8,430.25

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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.