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Finding the Fourth Proportional to 17,434.64, 26,151.96 and 5,746.16

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Solution

The fourth proportional to 17,434.64, 26,151.96 and 5,746.16 is: 8,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.64 : 26,151.96 = 5,746.16 : x
  2. Step 2: Convert to fraction form
    17,434.64/26,151.96 = 5,746.16/x
  3. Step 3: Cross multiply
    17,434.64x = 26,151.96 × 5,746.16
  4. Step 4: Simplify right side
    17,434.64x = 150,273,346.47
  5. Step 5: Solve for x
    x = 150,273,346.47/17,434.64
  6. Step 6: Final answer
    x = 8,619.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.