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Finding the Fourth Proportional to 4,632.94, 6,951 and 1,346.23

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Solution

The fourth proportional to 4,632.94, 6,951 and 1,346.23 is: 2,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.94 : 6,951 = 1,346.23 : x
  2. Step 2: Convert to fraction form
    4,632.94/6,951 = 1,346.23/x
  3. Step 3: Cross multiply
    4,632.94x = 6,951 × 1,346.23
  4. Step 4: Simplify right side
    4,632.94x = 9,357,644.73
  5. Step 5: Solve for x
    x = 9,357,644.73/4,632.94
  6. Step 6: Final answer
    x = 2,019.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.