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Finding the Fourth Proportional to 12,584.03, 17,358.30 and 9,052.02

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Solution

The fourth proportional to 12,584.03, 17,358.30 and 9,052.02 is: 12,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.03 : 17,358.30 = 9,052.02 : x
  2. Step 2: Convert to fraction form
    12,584.03/17,358.30 = 9,052.02/x
  3. Step 3: Cross multiply
    12,584.03x = 17,358.30 × 9,052.02
  4. Step 4: Simplify right side
    12,584.03x = 157,127,678.77
  5. Step 5: Solve for x
    x = 157,127,678.77/12,584.03
  6. Step 6: Final answer
    x = 12,486.28

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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.