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Finding the Fourth Proportional to 9,698.81, 14,553.68 and 4,768.94

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Solution

The fourth proportional to 9,698.81, 14,553.68 and 4,768.94 is: 7,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.81 : 14,553.68 = 4,768.94 : x
  2. Step 2: Convert to fraction form
    9,698.81/14,553.68 = 4,768.94/x
  3. Step 3: Cross multiply
    9,698.81x = 14,553.68 × 4,768.94
  4. Step 4: Simplify right side
    9,698.81x = 69,405,639.24
  5. Step 5: Solve for x
    x = 69,405,639.24/9,698.81
  6. Step 6: Final answer
    x = 7,156.10

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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.