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Finding the Fourth Proportional to 23,731.61, 35,597.36 and 9,698.22

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Solution

The fourth proportional to 23,731.61, 35,597.36 and 9,698.22 is: 14,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.61 : 35,597.36 = 9,698.22 : x
  2. Step 2: Convert to fraction form
    23,731.61/35,597.36 = 9,698.22/x
  3. Step 3: Cross multiply
    23,731.61x = 35,597.36 × 9,698.22
  4. Step 4: Simplify right side
    23,731.61x = 345,231,052.94
  5. Step 5: Solve for x
    x = 345,231,052.94/23,731.61
  6. Step 6: Final answer
    x = 14,547.31

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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.