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Finding the Fourth Proportional to 7,762.87, 10,712.99 and 5,498.27

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Solution

The fourth proportional to 7,762.87, 10,712.99 and 5,498.27 is: 7,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.87 : 10,712.99 = 5,498.27 : x
  2. Step 2: Convert to fraction form
    7,762.87/10,712.99 = 5,498.27/x
  3. Step 3: Cross multiply
    7,762.87x = 10,712.99 × 5,498.27
  4. Step 4: Simplify right side
    7,762.87x = 58,902,857.96
  5. Step 5: Solve for x
    x = 58,902,857.96/7,762.87
  6. Step 6: Final answer
    x = 7,587.77

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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.