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Finding the Fourth Proportional to 7,352.58, 11,007 and 7,090.14

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Solution

The fourth proportional to 7,352.58, 11,007 and 7,090.14 is: 10,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.58 : 11,007 = 7,090.14 : x
  2. Step 2: Convert to fraction form
    7,352.58/11,007 = 7,090.14/x
  3. Step 3: Cross multiply
    7,352.58x = 11,007 × 7,090.14
  4. Step 4: Simplify right side
    7,352.58x = 78,041,170.98
  5. Step 5: Solve for x
    x = 78,041,170.98/7,352.58
  6. Step 6: Final answer
    x = 10,614.12

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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.