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Finding the Fourth Proportional to 4,926.94, 7,391.63 and 1,464.18

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Solution

The fourth proportional to 4,926.94, 7,391.63 and 1,464.18 is: 2,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.94 : 7,391.63 = 1,464.18 : x
  2. Step 2: Convert to fraction form
    4,926.94/7,391.63 = 1,464.18/x
  3. Step 3: Cross multiply
    4,926.94x = 7,391.63 × 1,464.18
  4. Step 4: Simplify right side
    4,926.94x = 10,822,676.81
  5. Step 5: Solve for x
    x = 10,822,676.81/4,926.94
  6. Step 6: Final answer
    x = 2,196.63

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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.