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Finding the Fourth Proportional to 7,646.74, 11,469.03 and 3,750.10

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Solution

The fourth proportional to 7,646.74, 11,469.03 and 3,750.10 is: 5,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.74 : 11,469.03 = 3,750.10 : x
  2. Step 2: Convert to fraction form
    7,646.74/11,469.03 = 3,750.10/x
  3. Step 3: Cross multiply
    7,646.74x = 11,469.03 × 3,750.10
  4. Step 4: Simplify right side
    7,646.74x = 43,010,009.40
  5. Step 5: Solve for x
    x = 43,010,009.40/7,646.74
  6. Step 6: Final answer
    x = 5,624.62

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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.