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Finding the Fourth Proportional to 7,802.17, 10,772.63 and 4,822.09

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Solution

The fourth proportional to 7,802.17, 10,772.63 and 4,822.09 is: 6,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.17 : 10,772.63 = 4,822.09 : x
  2. Step 2: Convert to fraction form
    7,802.17/10,772.63 = 4,822.09/x
  3. Step 3: Cross multiply
    7,802.17x = 10,772.63 × 4,822.09
  4. Step 4: Simplify right side
    7,802.17x = 51,946,558.44
  5. Step 5: Solve for x
    x = 51,946,558.44/7,802.17
  6. Step 6: Final answer
    x = 6,657.97

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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.