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Finding the Fourth Proportional to 12,684.88, 17,509.80 and 9,535.60

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Solution

The fourth proportional to 12,684.88, 17,509.80 and 9,535.60 is: 13,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.88 : 17,509.80 = 9,535.60 : x
  2. Step 2: Convert to fraction form
    12,684.88/17,509.80 = 9,535.60/x
  3. Step 3: Cross multiply
    12,684.88x = 17,509.80 × 9,535.60
  4. Step 4: Simplify right side
    12,684.88x = 166,966,448.88
  5. Step 5: Solve for x
    x = 166,966,448.88/12,684.88
  6. Step 6: Final answer
    x = 13,162.64

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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.