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Finding the Fourth Proportional to 10,802.82, 14,908.05 and 6,022.63

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Solution

The fourth proportional to 10,802.82, 14,908.05 and 6,022.63 is: 8,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.82 : 14,908.05 = 6,022.63 : x
  2. Step 2: Convert to fraction form
    10,802.82/14,908.05 = 6,022.63/x
  3. Step 3: Cross multiply
    10,802.82x = 14,908.05 × 6,022.63
  4. Step 4: Simplify right side
    10,802.82x = 89,785,687.81
  5. Step 5: Solve for x
    x = 89,785,687.81/10,802.82
  6. Step 6: Final answer
    x = 8,311.32

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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.