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Finding the Fourth Proportional to 8,098.64, 11,140.98 and 6,603.28

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Solution

The fourth proportional to 8,098.64, 11,140.98 and 6,603.28 is: 9,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.64 : 11,140.98 = 6,603.28 : x
  2. Step 2: Convert to fraction form
    8,098.64/11,140.98 = 6,603.28/x
  3. Step 3: Cross multiply
    8,098.64x = 11,140.98 × 6,603.28
  4. Step 4: Simplify right side
    8,098.64x = 73,567,010.41
  5. Step 5: Solve for x
    x = 73,567,010.41/8,098.64
  6. Step 6: Final answer
    x = 9,083.87

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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.