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Finding the Fourth Proportional to 6,384.08, 8,802.42 and 5,498.36

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Solution

The fourth proportional to 6,384.08, 8,802.42 and 5,498.36 is: 7,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.08 : 8,802.42 = 5,498.36 : x
  2. Step 2: Convert to fraction form
    6,384.08/8,802.42 = 5,498.36/x
  3. Step 3: Cross multiply
    6,384.08x = 8,802.42 × 5,498.36
  4. Step 4: Simplify right side
    6,384.08x = 48,398,874.03
  5. Step 5: Solve for x
    x = 48,398,874.03/6,384.08
  6. Step 6: Final answer
    x = 7,581.18

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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.