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Finding the Fourth Proportional to 7,700.74, 11,549.28 and 7,530.33

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Solution

The fourth proportional to 7,700.74, 11,549.28 and 7,530.33 is: 11,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.74 : 11,549.28 = 7,530.33 : x
  2. Step 2: Convert to fraction form
    7,700.74/11,549.28 = 7,530.33/x
  3. Step 3: Cross multiply
    7,700.74x = 11,549.28 × 7,530.33
  4. Step 4: Simplify right side
    7,700.74x = 86,969,961.21
  5. Step 5: Solve for x
    x = 86,969,961.21/7,700.74
  6. Step 6: Final answer
    x = 11,293.72

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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.