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Finding the Fourth Proportional to 5,346.40, 7,963.22 and 5,106.54

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Solution

The fourth proportional to 5,346.40, 7,963.22 and 5,106.54 is: 7,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.40 : 7,963.22 = 5,106.54 : x
  2. Step 2: Convert to fraction form
    5,346.40/7,963.22 = 5,106.54/x
  3. Step 3: Cross multiply
    5,346.40x = 7,963.22 × 5,106.54
  4. Step 4: Simplify right side
    5,346.40x = 40,664,501.46
  5. Step 5: Solve for x
    x = 40,664,501.46/5,346.40
  6. Step 6: Final answer
    x = 7,605.96

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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.