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Finding the Fourth Proportional to 17,683, 26,516.40 and 6,587.08

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Solution

The fourth proportional to 17,683, 26,516.40 and 6,587.08 is: 9,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683 : 26,516.40 = 6,587.08 : x
  2. Step 2: Convert to fraction form
    17,683/26,516.40 = 6,587.08/x
  3. Step 3: Cross multiply
    17,683x = 26,516.40 × 6,587.08
  4. Step 4: Simplify right side
    17,683x = 174,665,648.11
  5. Step 5: Solve for x
    x = 174,665,648.11/17,683
  6. Step 6: Final answer
    x = 9,877.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.