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Finding the Fourth Proportional to 6,805.71, 10,210.77 and 3,340.53

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Solution

The fourth proportional to 6,805.71, 10,210.77 and 3,340.53 is: 5,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.71 : 10,210.77 = 3,340.53 : x
  2. Step 2: Convert to fraction form
    6,805.71/10,210.77 = 3,340.53/x
  3. Step 3: Cross multiply
    6,805.71x = 10,210.77 × 3,340.53
  4. Step 4: Simplify right side
    6,805.71x = 34,109,383.51
  5. Step 5: Solve for x
    x = 34,109,383.51/6,805.71
  6. Step 6: Final answer
    x = 5,011.88

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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.