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Finding the Fourth Proportional to 7,705.84, 11,560.48 and 3,026.28

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Solution

The fourth proportional to 7,705.84, 11,560.48 and 3,026.28 is: 4,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.84 : 11,560.48 = 3,026.28 : x
  2. Step 2: Convert to fraction form
    7,705.84/11,560.48 = 3,026.28/x
  3. Step 3: Cross multiply
    7,705.84x = 11,560.48 × 3,026.28
  4. Step 4: Simplify right side
    7,705.84x = 34,985,249.41
  5. Step 5: Solve for x
    x = 34,985,249.41/7,705.84
  6. Step 6: Final answer
    x = 4,540.10

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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.