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Finding the Fourth Proportional to 9,700.94, 14,551.31 and 6,839.65

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Solution

The fourth proportional to 9,700.94, 14,551.31 and 6,839.65 is: 10,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.94 : 14,551.31 = 6,839.65 : x
  2. Step 2: Convert to fraction form
    9,700.94/14,551.31 = 6,839.65/x
  3. Step 3: Cross multiply
    9,700.94x = 14,551.31 × 6,839.65
  4. Step 4: Simplify right side
    9,700.94x = 99,525,760.49
  5. Step 5: Solve for x
    x = 99,525,760.49/9,700.94
  6. Step 6: Final answer
    x = 10,259.39

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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.