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Finding the Fourth Proportional to 7,776.58, 11,658.48 and 3,094.58

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Solution

The fourth proportional to 7,776.58, 11,658.48 and 3,094.58 is: 4,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.58 : 11,658.48 = 3,094.58 : x
  2. Step 2: Convert to fraction form
    7,776.58/11,658.48 = 3,094.58/x
  3. Step 3: Cross multiply
    7,776.58x = 11,658.48 × 3,094.58
  4. Step 4: Simplify right side
    7,776.58x = 36,078,099.04
  5. Step 5: Solve for x
    x = 36,078,099.04/7,776.58
  6. Step 6: Final answer
    x = 4,639.33

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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.