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Finding the Fourth Proportional to 6,807.34, 10,213.06 and 2,424.23

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Solution

The fourth proportional to 6,807.34, 10,213.06 and 2,424.23 is: 3,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.34 : 10,213.06 = 2,424.23 : x
  2. Step 2: Convert to fraction form
    6,807.34/10,213.06 = 2,424.23/x
  3. Step 3: Cross multiply
    6,807.34x = 10,213.06 × 2,424.23
  4. Step 4: Simplify right side
    6,807.34x = 24,758,749.32
  5. Step 5: Solve for x
    x = 24,758,749.32/6,807.34
  6. Step 6: Final answer
    x = 3,637.07

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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.