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Finding the Fourth Proportional to 7,648.02, 11,473.92 and 2,453.76

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Solution

The fourth proportional to 7,648.02, 11,473.92 and 2,453.76 is: 3,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.02 : 11,473.92 = 2,453.76 : x
  2. Step 2: Convert to fraction form
    7,648.02/11,473.92 = 2,453.76/x
  3. Step 3: Cross multiply
    7,648.02x = 11,473.92 × 2,453.76
  4. Step 4: Simplify right side
    7,648.02x = 28,154,245.94
  5. Step 5: Solve for x
    x = 28,154,245.94/7,648.02
  6. Step 6: Final answer
    x = 3,681.25

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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.