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Finding the Fourth Proportional to 12,798.46, 17,659.54 and 7,133.07

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Solution

The fourth proportional to 12,798.46, 17,659.54 and 7,133.07 is: 9,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.46 : 17,659.54 = 7,133.07 : x
  2. Step 2: Convert to fraction form
    12,798.46/17,659.54 = 7,133.07/x
  3. Step 3: Cross multiply
    12,798.46x = 17,659.54 × 7,133.07
  4. Step 4: Simplify right side
    12,798.46x = 125,966,611.02
  5. Step 5: Solve for x
    x = 125,966,611.02/12,798.46
  6. Step 6: Final answer
    x = 9,842.33

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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.