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Finding the Fourth Proportional to 10,700.65, 14,765.37 and 6,723.07

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Solution

The fourth proportional to 10,700.65, 14,765.37 and 6,723.07 is: 9,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.65 : 14,765.37 = 6,723.07 : x
  2. Step 2: Convert to fraction form
    10,700.65/14,765.37 = 6,723.07/x
  3. Step 3: Cross multiply
    10,700.65x = 14,765.37 × 6,723.07
  4. Step 4: Simplify right side
    10,700.65x = 99,268,616.09
  5. Step 5: Solve for x
    x = 99,268,616.09/10,700.65
  6. Step 6: Final answer
    x = 9,276.88

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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.