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Finding the Fourth Proportional to 7,530.74, 11,296.13 and 7,074.03

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Solution

The fourth proportional to 7,530.74, 11,296.13 and 7,074.03 is: 10,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.74 : 11,296.13 = 7,074.03 : x
  2. Step 2: Convert to fraction form
    7,530.74/11,296.13 = 7,074.03/x
  3. Step 3: Cross multiply
    7,530.74x = 11,296.13 × 7,074.03
  4. Step 4: Simplify right side
    7,530.74x = 79,909,127.13
  5. Step 5: Solve for x
    x = 79,909,127.13/7,530.74
  6. Step 6: Final answer
    x = 10,611.07

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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.