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Finding the Fourth Proportional to 5,176.34, 7,724.74 and 4,622.74

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Solution

The fourth proportional to 5,176.34, 7,724.74 and 4,622.74 is: 6,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.34 : 7,724.74 = 4,622.74 : x
  2. Step 2: Convert to fraction form
    5,176.34/7,724.74 = 4,622.74/x
  3. Step 3: Cross multiply
    5,176.34x = 7,724.74 × 4,622.74
  4. Step 4: Simplify right side
    5,176.34x = 35,709,464.59
  5. Step 5: Solve for x
    x = 35,709,464.59/5,176.34
  6. Step 6: Final answer
    x = 6,898.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.