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Finding the Fourth Proportional to 6,502.07, 9,754.12 and 2,118.51

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Solution

The fourth proportional to 6,502.07, 9,754.12 and 2,118.51 is: 3,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.07 : 9,754.12 = 2,118.51 : x
  2. Step 2: Convert to fraction form
    6,502.07/9,754.12 = 2,118.51/x
  3. Step 3: Cross multiply
    6,502.07x = 9,754.12 × 2,118.51
  4. Step 4: Simplify right side
    6,502.07x = 20,664,200.76
  5. Step 5: Solve for x
    x = 20,664,200.76/6,502.07
  6. Step 6: Final answer
    x = 3,178.10

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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.