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Finding the Fourth Proportional to 7,709.04, 11,568.02 and 3,266.40

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Solution

The fourth proportional to 7,709.04, 11,568.02 and 3,266.40 is: 4,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.04 : 11,568.02 = 3,266.40 : x
  2. Step 2: Convert to fraction form
    7,709.04/11,568.02 = 3,266.40/x
  3. Step 3: Cross multiply
    7,709.04x = 11,568.02 × 3,266.40
  4. Step 4: Simplify right side
    7,709.04x = 37,785,780.53
  5. Step 5: Solve for x
    x = 37,785,780.53/7,709.04
  6. Step 6: Final answer
    x = 4,901.49

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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.