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Finding the Fourth Proportional to 7,530.05, 11,295.08 and 3,642.05

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Solution

The fourth proportional to 7,530.05, 11,295.08 and 3,642.05 is: 5,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.05 : 11,295.08 = 3,642.05 : x
  2. Step 2: Convert to fraction form
    7,530.05/11,295.08 = 3,642.05/x
  3. Step 3: Cross multiply
    7,530.05x = 11,295.08 × 3,642.05
  4. Step 4: Simplify right side
    7,530.05x = 41,137,227.90
  5. Step 5: Solve for x
    x = 41,137,227.90/7,530.05
  6. Step 6: Final answer
    x = 5,463.08

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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.