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Finding the Fourth Proportional to 7,674.74, 11,525.94 and 7,057.28

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Solution

The fourth proportional to 7,674.74, 11,525.94 and 7,057.28 is: 10,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.74 : 11,525.94 = 7,057.28 : x
  2. Step 2: Convert to fraction form
    7,674.74/11,525.94 = 7,057.28/x
  3. Step 3: Cross multiply
    7,674.74x = 11,525.94 × 7,057.28
  4. Step 4: Simplify right side
    7,674.74x = 81,341,785.84
  5. Step 5: Solve for x
    x = 81,341,785.84/7,674.74
  6. Step 6: Final answer
    x = 10,598.64

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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.