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Finding the Fourth Proportional to 8,341.80, 11,509.74 and 5,694.72

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Solution

The fourth proportional to 8,341.80, 11,509.74 and 5,694.72 is: 7,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.80 : 11,509.74 = 5,694.72 : x
  2. Step 2: Convert to fraction form
    8,341.80/11,509.74 = 5,694.72/x
  3. Step 3: Cross multiply
    8,341.80x = 11,509.74 × 5,694.72
  4. Step 4: Simplify right side
    8,341.80x = 65,544,746.57
  5. Step 5: Solve for x
    x = 65,544,746.57/8,341.80
  6. Step 6: Final answer
    x = 7,857.39

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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.