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Finding the Fourth Proportional to 9,695.03, 13,378.80 and 5,924.51

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Solution

The fourth proportional to 9,695.03, 13,378.80 and 5,924.51 is: 8,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.03 : 13,378.80 = 5,924.51 : x
  2. Step 2: Convert to fraction form
    9,695.03/13,378.80 = 5,924.51/x
  3. Step 3: Cross multiply
    9,695.03x = 13,378.80 × 5,924.51
  4. Step 4: Simplify right side
    9,695.03x = 79,262,752.68
  5. Step 5: Solve for x
    x = 79,262,752.68/9,695.03
  6. Step 6: Final answer
    x = 8,175.61

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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.