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Finding the Fourth Proportional to 17,655.63, 24,364.79 and 9,698.01

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Solution

The fourth proportional to 17,655.63, 24,364.79 and 9,698.01 is: 13,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.63 : 24,364.79 = 9,698.01 : x
  2. Step 2: Convert to fraction form
    17,655.63/24,364.79 = 9,698.01/x
  3. Step 3: Cross multiply
    17,655.63x = 24,364.79 × 9,698.01
  4. Step 4: Simplify right side
    17,655.63x = 236,289,977.07
  5. Step 5: Solve for x
    x = 236,289,977.07/17,655.63
  6. Step 6: Final answer
    x = 13,383.27

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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.