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Finding the Fourth Proportional to 6,853.46, 9,457.74 and 3,709.64

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Solution

The fourth proportional to 6,853.46, 9,457.74 and 3,709.64 is: 5,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.46 : 9,457.74 = 3,709.64 : x
  2. Step 2: Convert to fraction form
    6,853.46/9,457.74 = 3,709.64/x
  3. Step 3: Cross multiply
    6,853.46x = 9,457.74 × 3,709.64
  4. Step 4: Simplify right side
    6,853.46x = 35,084,810.61
  5. Step 5: Solve for x
    x = 35,084,810.61/6,853.46
  6. Step 6: Final answer
    x = 5,119.28

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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.