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Finding the Fourth Proportional to 7,762.96, 11,588.07 and 7,184.74

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Solution

The fourth proportional to 7,762.96, 11,588.07 and 7,184.74 is: 10,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.96 : 11,588.07 = 7,184.74 : x
  2. Step 2: Convert to fraction form
    7,762.96/11,588.07 = 7,184.74/x
  3. Step 3: Cross multiply
    7,762.96x = 11,588.07 × 7,184.74
  4. Step 4: Simplify right side
    7,762.96x = 83,257,270.05
  5. Step 5: Solve for x
    x = 83,257,270.05/7,762.96
  6. Step 6: Final answer
    x = 10,724.94

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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.