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Finding the Fourth Proportional to 5,647.12, 8,470.68 and 1,751.68

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Solution

The fourth proportional to 5,647.12, 8,470.68 and 1,751.68 is: 2,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.12 : 8,470.68 = 1,751.68 : x
  2. Step 2: Convert to fraction form
    5,647.12/8,470.68 = 1,751.68/x
  3. Step 3: Cross multiply
    5,647.12x = 8,470.68 × 1,751.68
  4. Step 4: Simplify right side
    5,647.12x = 14,837,920.74
  5. Step 5: Solve for x
    x = 14,837,920.74/5,647.12
  6. Step 6: Final answer
    x = 2,627.52

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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.