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Finding the Fourth Proportional to 6,855.68, 9,457.57 and 4,464.79

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Solution

The fourth proportional to 6,855.68, 9,457.57 and 4,464.79 is: 6,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.68 : 9,457.57 = 4,464.79 : x
  2. Step 2: Convert to fraction form
    6,855.68/9,457.57 = 4,464.79/x
  3. Step 3: Cross multiply
    6,855.68x = 9,457.57 × 4,464.79
  4. Step 4: Simplify right side
    6,855.68x = 42,226,020.78
  5. Step 5: Solve for x
    x = 42,226,020.78/6,855.68
  6. Step 6: Final answer
    x = 6,159.28

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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.