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Finding the Fourth Proportional to 4,614.98, 6,368.76 and 2,822.76

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Solution

The fourth proportional to 4,614.98, 6,368.76 and 2,822.76 is: 3,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.98 : 6,368.76 = 2,822.76 : x
  2. Step 2: Convert to fraction form
    4,614.98/6,368.76 = 2,822.76/x
  3. Step 3: Cross multiply
    4,614.98x = 6,368.76 × 2,822.76
  4. Step 4: Simplify right side
    4,614.98x = 17,977,480.98
  5. Step 5: Solve for x
    x = 17,977,480.98/4,614.98
  6. Step 6: Final answer
    x = 3,895.47

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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.