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Finding the Fourth Proportional to 9,855.75, 13,603.22 and 6,499.17

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Solution

The fourth proportional to 9,855.75, 13,603.22 and 6,499.17 is: 8,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.75 : 13,603.22 = 6,499.17 : x
  2. Step 2: Convert to fraction form
    9,855.75/13,603.22 = 6,499.17/x
  3. Step 3: Cross multiply
    9,855.75x = 13,603.22 × 6,499.17
  4. Step 4: Simplify right side
    9,855.75x = 88,409,639.33
  5. Step 5: Solve for x
    x = 88,409,639.33/9,855.75
  6. Step 6: Final answer
    x = 8,970.36

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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.