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Finding the Fourth Proportional to 12,537.03, 17,301.32 and 6,871.40

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Solution

The fourth proportional to 12,537.03, 17,301.32 and 6,871.40 is: 9,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.03 : 17,301.32 = 6,871.40 : x
  2. Step 2: Convert to fraction form
    12,537.03/17,301.32 = 6,871.40/x
  3. Step 3: Cross multiply
    12,537.03x = 17,301.32 × 6,871.40
  4. Step 4: Simplify right side
    12,537.03x = 118,884,169.38
  5. Step 5: Solve for x
    x = 118,884,169.38/12,537.03
  6. Step 6: Final answer
    x = 9,482.64

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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.