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Finding the Fourth Proportional to 4,645.79, 6,411.02 and 2,656.22

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Solution

The fourth proportional to 4,645.79, 6,411.02 and 2,656.22 is: 3,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.79 : 6,411.02 = 2,656.22 : x
  2. Step 2: Convert to fraction form
    4,645.79/6,411.02 = 2,656.22/x
  3. Step 3: Cross multiply
    4,645.79x = 6,411.02 × 2,656.22
  4. Step 4: Simplify right side
    4,645.79x = 17,029,034.21
  5. Step 5: Solve for x
    x = 17,029,034.21/4,645.79
  6. Step 6: Final answer
    x = 3,665.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.