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Finding the Fourth Proportional to 5,664.72, 7,815.13 and 4,176.17

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Solution

The fourth proportional to 5,664.72, 7,815.13 and 4,176.17 is: 5,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.72 : 7,815.13 = 4,176.17 : x
  2. Step 2: Convert to fraction form
    5,664.72/7,815.13 = 4,176.17/x
  3. Step 3: Cross multiply
    5,664.72x = 7,815.13 × 4,176.17
  4. Step 4: Simplify right side
    5,664.72x = 32,637,320.55
  5. Step 5: Solve for x
    x = 32,637,320.55/5,664.72
  6. Step 6: Final answer
    x = 5,761.51

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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.