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Finding the Fourth Proportional to 10,410.40, 14,365.74 and 5,694.40

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Solution

The fourth proportional to 10,410.40, 14,365.74 and 5,694.40 is: 7,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.40 : 14,365.74 = 5,694.40 : x
  2. Step 2: Convert to fraction form
    10,410.40/14,365.74 = 5,694.40/x
  3. Step 3: Cross multiply
    10,410.40x = 14,365.74 × 5,694.40
  4. Step 4: Simplify right side
    10,410.40x = 81,804,269.86
  5. Step 5: Solve for x
    x = 81,804,269.86/10,410.40
  6. Step 6: Final answer
    x = 7,857.94

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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.