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Finding the Fourth Proportional to 7,762.69, 11,587.73 and 7,184.49

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Solution

The fourth proportional to 7,762.69, 11,587.73 and 7,184.49 is: 10,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.69 : 11,587.73 = 7,184.49 : x
  2. Step 2: Convert to fraction form
    7,762.69/11,587.73 = 7,184.49/x
  3. Step 3: Cross multiply
    7,762.69x = 11,587.73 × 7,184.49
  4. Step 4: Simplify right side
    7,762.69x = 83,251,930.31
  5. Step 5: Solve for x
    x = 83,251,930.31/7,762.69
  6. Step 6: Final answer
    x = 10,724.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.