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Finding the Fourth Proportional to 9,750.76, 14,626.38 and 3,176.68

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Solution

The fourth proportional to 9,750.76, 14,626.38 and 3,176.68 is: 4,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.76 : 14,626.38 = 3,176.68 : x
  2. Step 2: Convert to fraction form
    9,750.76/14,626.38 = 3,176.68/x
  3. Step 3: Cross multiply
    9,750.76x = 14,626.38 × 3,176.68
  4. Step 4: Simplify right side
    9,750.76x = 46,463,328.82
  5. Step 5: Solve for x
    x = 46,463,328.82/9,750.76
  6. Step 6: Final answer
    x = 4,765.10

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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.