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Finding the Fourth Proportional to 10,319.32, 14,240.58 and 5,843

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Solution

The fourth proportional to 10,319.32, 14,240.58 and 5,843 is: 8,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.32 : 14,240.58 = 5,843 : x
  2. Step 2: Convert to fraction form
    10,319.32/14,240.58 = 5,843/x
  3. Step 3: Cross multiply
    10,319.32x = 14,240.58 × 5,843
  4. Step 4: Simplify right side
    10,319.32x = 83,207,708.94
  5. Step 5: Solve for x
    x = 83,207,708.94/10,319.32
  6. Step 6: Final answer
    x = 8,063.29

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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.