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Finding the Fourth Proportional to 9,750.80, 14,607.78 and 4,814.68

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Solution

The fourth proportional to 9,750.80, 14,607.78 and 4,814.68 is: 7,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.80 : 14,607.78 = 4,814.68 : x
  2. Step 2: Convert to fraction form
    9,750.80/14,607.78 = 4,814.68/x
  3. Step 3: Cross multiply
    9,750.80x = 14,607.78 × 4,814.68
  4. Step 4: Simplify right side
    9,750.80x = 70,331,786.21
  5. Step 5: Solve for x
    x = 70,331,786.21/9,750.80
  6. Step 6: Final answer
    x = 7,212.92

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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.