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Finding the Fourth Proportional to 9,798.80, 14,672.12 and 6,684.95

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Solution

The fourth proportional to 9,798.80, 14,672.12 and 6,684.95 is: 10,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.80 : 14,672.12 = 6,684.95 : x
  2. Step 2: Convert to fraction form
    9,798.80/14,672.12 = 6,684.95/x
  3. Step 3: Cross multiply
    9,798.80x = 14,672.12 × 6,684.95
  4. Step 4: Simplify right side
    9,798.80x = 98,082,391.85
  5. Step 5: Solve for x
    x = 98,082,391.85/9,798.80
  6. Step 6: Final answer
    x = 10,009.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.