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Finding the Fourth Proportional to 10,395.53, 14,345.81 and 5,679.85

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Solution

The fourth proportional to 10,395.53, 14,345.81 and 5,679.85 is: 7,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.53 : 14,345.81 = 5,679.85 : x
  2. Step 2: Convert to fraction form
    10,395.53/14,345.81 = 5,679.85/x
  3. Step 3: Cross multiply
    10,395.53x = 14,345.81 × 5,679.85
  4. Step 4: Simplify right side
    10,395.53x = 81,481,977.20
  5. Step 5: Solve for x
    x = 81,481,977.20/10,395.53
  6. Step 6: Final answer
    x = 7,838.17

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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.