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Finding the Fourth Proportional to 12,102.80, 16,703.10 and 6,798.08

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Solution

The fourth proportional to 12,102.80, 16,703.10 and 6,798.08 is: 9,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.80 : 16,703.10 = 6,798.08 : x
  2. Step 2: Convert to fraction form
    12,102.80/16,703.10 = 6,798.08/x
  3. Step 3: Cross multiply
    12,102.80x = 16,703.10 × 6,798.08
  4. Step 4: Simplify right side
    12,102.80x = 113,549,010.05
  5. Step 5: Solve for x
    x = 113,549,010.05/12,102.80
  6. Step 6: Final answer
    x = 9,382.04

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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.