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Finding the Fourth Proportional to 7,774.68, 11,657.70 and 3,094.32

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Solution

The fourth proportional to 7,774.68, 11,657.70 and 3,094.32 is: 4,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.68 : 11,657.70 = 3,094.32 : x
  2. Step 2: Convert to fraction form
    7,774.68/11,657.70 = 3,094.32/x
  3. Step 3: Cross multiply
    7,774.68x = 11,657.70 × 3,094.32
  4. Step 4: Simplify right side
    7,774.68x = 36,072,654.26
  5. Step 5: Solve for x
    x = 36,072,654.26/7,774.68
  6. Step 6: Final answer
    x = 4,639.76

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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.