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Finding the Fourth Proportional to 7,802.92, 10,777.16 and 6,214.92

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Solution

The fourth proportional to 7,802.92, 10,777.16 and 6,214.92 is: 8,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.92 : 10,777.16 = 6,214.92 : x
  2. Step 2: Convert to fraction form
    7,802.92/10,777.16 = 6,214.92/x
  3. Step 3: Cross multiply
    7,802.92x = 10,777.16 × 6,214.92
  4. Step 4: Simplify right side
    7,802.92x = 66,979,187.23
  5. Step 5: Solve for x
    x = 66,979,187.23/7,802.92
  6. Step 6: Final answer
    x = 8,583.86

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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.