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Finding the Fourth Proportional to 10,419.59, 14,378.51 and 5,943.17

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Solution

The fourth proportional to 10,419.59, 14,378.51 and 5,943.17 is: 8,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.59 : 14,378.51 = 5,943.17 : x
  2. Step 2: Convert to fraction form
    10,419.59/14,378.51 = 5,943.17/x
  3. Step 3: Cross multiply
    10,419.59x = 14,378.51 × 5,943.17
  4. Step 4: Simplify right side
    10,419.59x = 85,453,980.08
  5. Step 5: Solve for x
    x = 85,453,980.08/10,419.59
  6. Step 6: Final answer
    x = 8,201.28

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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.