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Finding the Fourth Proportional to 17,235.64, 23,784.60 and 9,783.64

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Solution

The fourth proportional to 17,235.64, 23,784.60 and 9,783.64 is: 13,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.64 : 23,784.60 = 9,783.64 : x
  2. Step 2: Convert to fraction form
    17,235.64/23,784.60 = 9,783.64/x
  3. Step 3: Cross multiply
    17,235.64x = 23,784.60 × 9,783.64
  4. Step 4: Simplify right side
    17,235.64x = 232,699,963.94
  5. Step 5: Solve for x
    x = 232,699,963.94/17,235.64
  6. Step 6: Final answer
    x = 13,501.09

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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.