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Finding the Fourth Proportional to 7,184.96, 10,775 and 2,803.68

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Solution

The fourth proportional to 7,184.96, 10,775 and 2,803.68 is: 4,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.96 : 10,775 = 2,803.68 : x
  2. Step 2: Convert to fraction form
    7,184.96/10,775 = 2,803.68/x
  3. Step 3: Cross multiply
    7,184.96x = 10,775 × 2,803.68
  4. Step 4: Simplify right side
    7,184.96x = 30,209,652
  5. Step 5: Solve for x
    x = 30,209,652/7,184.96
  6. Step 6: Final answer
    x = 4,204.57

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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.