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Finding the Fourth Proportional to 7,221.84, 10,811.64 and 6,530.10

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Solution

The fourth proportional to 7,221.84, 10,811.64 and 6,530.10 is: 9,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.84 : 10,811.64 = 6,530.10 : x
  2. Step 2: Convert to fraction form
    7,221.84/10,811.64 = 6,530.10/x
  3. Step 3: Cross multiply
    7,221.84x = 10,811.64 × 6,530.10
  4. Step 4: Simplify right side
    7,221.84x = 70,601,090.36
  5. Step 5: Solve for x
    x = 70,601,090.36/7,221.84
  6. Step 6: Final answer
    x = 9,776.05

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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.