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Finding the Fourth Proportional to 7,682.32, 11,457.32 and 7,544.08

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Solution

The fourth proportional to 7,682.32, 11,457.32 and 7,544.08 is: 11,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.32 : 11,457.32 = 7,544.08 : x
  2. Step 2: Convert to fraction form
    7,682.32/11,457.32 = 7,544.08/x
  3. Step 3: Cross multiply
    7,682.32x = 11,457.32 × 7,544.08
  4. Step 4: Simplify right side
    7,682.32x = 86,434,938.67
  5. Step 5: Solve for x
    x = 86,434,938.67/7,682.32
  6. Step 6: Final answer
    x = 11,251.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.