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Finding the Fourth Proportional to 9,384.80, 12,949.44 and 5,849.12

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Solution

The fourth proportional to 9,384.80, 12,949.44 and 5,849.12 is: 8,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.80 : 12,949.44 = 5,849.12 : x
  2. Step 2: Convert to fraction form
    9,384.80/12,949.44 = 5,849.12/x
  3. Step 3: Cross multiply
    9,384.80x = 12,949.44 × 5,849.12
  4. Step 4: Simplify right side
    9,384.80x = 75,742,828.49
  5. Step 5: Solve for x
    x = 75,742,828.49/9,384.80
  6. Step 6: Final answer
    x = 8,070.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.