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Finding the Third Proportional to 4,774.57 and 6,415.14

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Solution

The third proportional to 4,774.57 and 6,415.14 is: 8,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.57 : 6,415.14 = 6,415.14 : x
  2. Step 2: Convert to fraction form
    4,774.57/6,415.14 = 6,415.14/x
  3. Step 3: Cross multiply
    4,774.57x = 6,415.14 × 6,415.14
  4. Step 4: Simplify right side
    4,774.57x = 41,153,979.12
  5. Step 5: Solve for x
    x = 41,153,979.12/4,774.57
  6. Step 6: Final answer
    x = 8,619.41

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.