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Finding the Fourth Proportional to 5,315.86, 7,974.63 and 1,756.90

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Solution

The fourth proportional to 5,315.86, 7,974.63 and 1,756.90 is: 2,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.86 : 7,974.63 = 1,756.90 : x
  2. Step 2: Convert to fraction form
    5,315.86/7,974.63 = 1,756.90/x
  3. Step 3: Cross multiply
    5,315.86x = 7,974.63 × 1,756.90
  4. Step 4: Simplify right side
    5,315.86x = 14,010,627.45
  5. Step 5: Solve for x
    x = 14,010,627.45/5,315.86
  6. Step 6: Final answer
    x = 2,635.63

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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.