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Finding the Fourth Proportional to 15,090.92, 22,648.86 and 7,700.84

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Solution

The fourth proportional to 15,090.92, 22,648.86 and 7,700.84 is: 11,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.92 : 22,648.86 = 7,700.84 : x
  2. Step 2: Convert to fraction form
    15,090.92/22,648.86 = 7,700.84/x
  3. Step 3: Cross multiply
    15,090.92x = 22,648.86 × 7,700.84
  4. Step 4: Simplify right side
    15,090.92x = 174,415,247.04
  5. Step 5: Solve for x
    x = 174,415,247.04/15,090.92
  6. Step 6: Final answer
    x = 11,557.63

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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.