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Finding the Fourth Proportional to 23,497.66, 35,252.13 and 7,703.86

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Solution

The fourth proportional to 23,497.66, 35,252.13 and 7,703.86 is: 11,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.66 : 35,252.13 = 7,703.86 : x
  2. Step 2: Convert to fraction form
    23,497.66/35,252.13 = 7,703.86/x
  3. Step 3: Cross multiply
    23,497.66x = 35,252.13 × 7,703.86
  4. Step 4: Simplify right side
    23,497.66x = 271,577,474.22
  5. Step 5: Solve for x
    x = 271,577,474.22/23,497.66
  6. Step 6: Final answer
    x = 11,557.64

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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.