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Finding the Fourth Proportional to 7,762.82, 10,693.87 and 5,769.92

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Solution

The fourth proportional to 7,762.82, 10,693.87 and 5,769.92 is: 7,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.82 : 10,693.87 = 5,769.92 : x
  2. Step 2: Convert to fraction form
    7,762.82/10,693.87 = 5,769.92/x
  3. Step 3: Cross multiply
    7,762.82x = 10,693.87 × 5,769.92
  4. Step 4: Simplify right side
    7,762.82x = 61,702,774.39
  5. Step 5: Solve for x
    x = 61,702,774.39/7,762.82
  6. Step 6: Final answer
    x = 7,948.50

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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.