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Finding the Fourth Proportional to 8,484.52, 11,683.97 and 7,943

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Solution

The fourth proportional to 8,484.52, 11,683.97 and 7,943 is: 10,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.52 : 11,683.97 = 7,943 : x
  2. Step 2: Convert to fraction form
    8,484.52/11,683.97 = 7,943/x
  3. Step 3: Cross multiply
    8,484.52x = 11,683.97 × 7,943
  4. Step 4: Simplify right side
    8,484.52x = 92,805,734.00
  5. Step 5: Solve for x
    x = 92,805,734.00/8,484.52
  6. Step 6: Final answer
    x = 10,938.25

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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.