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Finding the Fourth Proportional to 7,802.01, 11,696.54 and 5,455.31

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Solution

The fourth proportional to 7,802.01, 11,696.54 and 5,455.31 is: 8,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.01 : 11,696.54 = 5,455.31 : x
  2. Step 2: Convert to fraction form
    7,802.01/11,696.54 = 5,455.31/x
  3. Step 3: Cross multiply
    7,802.01x = 11,696.54 × 5,455.31
  4. Step 4: Simplify right side
    7,802.01x = 63,808,165.87
  5. Step 5: Solve for x
    x = 63,808,165.87/7,802.01
  6. Step 6: Final answer
    x = 8,178.43

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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.