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Finding the Fourth Proportional to 12,102.16, 16,700.07 and 6,795.94

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Solution

The fourth proportional to 12,102.16, 16,700.07 and 6,795.94 is: 9,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.16 : 16,700.07 = 6,795.94 : x
  2. Step 2: Convert to fraction form
    12,102.16/16,700.07 = 6,795.94/x
  3. Step 3: Cross multiply
    12,102.16x = 16,700.07 × 6,795.94
  4. Step 4: Simplify right side
    12,102.16x = 113,492,673.72
  5. Step 5: Solve for x
    x = 113,492,673.72/12,102.16
  6. Step 6: Final answer
    x = 9,377.89

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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.