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Finding the Fourth Proportional to 4,646.98, 6,980.46 and 2,916.82

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Solution

The fourth proportional to 4,646.98, 6,980.46 and 2,916.82 is: 4,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.98 : 6,980.46 = 2,916.82 : x
  2. Step 2: Convert to fraction form
    4,646.98/6,980.46 = 2,916.82/x
  3. Step 3: Cross multiply
    4,646.98x = 6,980.46 × 2,916.82
  4. Step 4: Simplify right side
    4,646.98x = 20,360,745.34
  5. Step 5: Solve for x
    x = 20,360,745.34/4,646.98
  6. Step 6: Final answer
    x = 4,381.50

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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.