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Finding the Fourth Proportional to 4,974.96, 7,461.57 and 1,417.32

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Solution

The fourth proportional to 4,974.96, 7,461.57 and 1,417.32 is: 2,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.96 : 7,461.57 = 1,417.32 : x
  2. Step 2: Convert to fraction form
    4,974.96/7,461.57 = 1,417.32/x
  3. Step 3: Cross multiply
    4,974.96x = 7,461.57 × 1,417.32
  4. Step 4: Simplify right side
    4,974.96x = 10,575,432.39
  5. Step 5: Solve for x
    x = 10,575,432.39/4,974.96
  6. Step 6: Final answer
    x = 2,125.73

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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.